Search a number
-
+
2420954480 = 24577359221
BaseRepresentation
bin1001000001001100…
…1101010101110000
320020201110020012202
42100103031111300
514424231020410
61040121242332
7113664526220
oct22023152560
96221406182
102420954480
111032624a2a
125769333a8
132c7744659
1418d756080
15e2814ca5
hex904cd570

2420954480 has 80 divisors (see below), whose sum is σ = 6521052864. Its totient is φ = 818657280.

The previous prime is 2420954449. The next prime is 2420954509. The reversal of 2420954480 is 844590242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×24209544802 = 11722041188464140800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11270 + ... + 70490.

Almost surely, 22420954480 is an apocalyptic number.

2420954480 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 2420954480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260526432).

2420954480 is an abundant number, since it is smaller than the sum of its proper divisors (4100098384).

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

2420954480 is a wasteful number, since it uses less digits than its factorization.

2420954480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59314 (or 59308 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2420954480 is about 49203.1958311653. The cubic root of 2420954480 is about 1342.7511754533.

The spelling of 2420954480 in words is "two billion, four hundred twenty million, nine hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 560 584 730 1022 1168 1460 2044 2555 2920 4088 5110 5840 8176 10220 20440 40880 59221 118442 236884 296105 414547 473768 592210 829094 947536 1184420 1658188 2072735 2368840 3316376 4145470 4323133 4737680 6632752 8290940 8646266 16581880 17292532 21615665 30261931 33163760 34585064 43231330 60523862 69170128 86462660 121047724 151309655 172925320 242095448 302619310 345850640 484190896 605238620 1210477240 2420954480