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2420700240 = 243576732141
BaseRepresentation
bin1001000001001000…
…1111010001010000
320020200222022110110
42100102033101100
514424144401430
61040112001320
7113662420050
oct22022172120
96220868413
102420700240
111032470a12
12576830240
132c7685a0a
1418d6cb560
15e27b47b0
hex9048f450

2420700240 has 160 divisors (see below), whose sum is σ = 8592950016. Its totient is φ = 552222720.

The previous prime is 2420700239. The next prime is 2420700241. The reversal of 2420700240 is 420070242.

It is an interprime number because it is at equal distance from previous prime (2420700239) and next prime (2420700241).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420700241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1129570 + ... + 1131710.

Almost surely, 22420700240 is an apocalyptic number.

2420700240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420700240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296475008).

2420700240 is an abundant number, since it is smaller than the sum of its proper divisors (6172249776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2420700240 is a wasteful number, since it uses less digits than its factorization.

2420700240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2420700240 is about 49200.6121913132. The cubic root of 2420700240 is about 1342.7041701622.

Adding to 2420700240 its reverse (420070242), we get a palindrome (2840770482).

The spelling of 2420700240 in words is "two billion, four hundred twenty million, seven hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 673 840 1346 1680 2019 2141 2692 3365 4038 4282 4711 5384 6423 6730 8076 8564 9422 10095 10705 10768 12846 13460 14133 14987 16152 17128 18844 20190 21410 23555 25692 26920 28266 29974 32115 32304 34256 37688 40380 42820 44961 47110 51384 53840 56532 59948 64230 70665 74935 75376 80760 85640 89922 94220 102768 113064 119896 128460 141330 149870 161520 171280 179844 188440 224805 226128 239792 256920 282660 299740 359688 376880 449610 513840 565320 599480 719376 899220 1130640 1198960 1440893 1798440 2881786 3596880 4322679 5763572 7204465 8645358 10086251 11527144 14408930 17290716 20172502 21613395 23054288 28817860 30258753 34581432 40345004 43226790 50431255 57635720 60517506 69162864 80690008 86453580 100862510 115271440 121035012 151293765 161380016 172907160 201725020 242070024 302587530 345814320 403450040 484140048 605175060 806900080 1210350120 2420700240