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2420734360 = 2351123251953
BaseRepresentation
bin1001000001001001…
…0111100110011000
320020201001001021011
42100102113212120
514424201444420
61040112423304
7113662621402
oct22022274630
96221031234
102420734360
111032494610
12576847b34
132c76983c5
1418d6d9b72
15e27be95a
hex90497998

2420734360 has 128 divisors (see below), whose sum is σ = 6231375360. Its totient is φ = 837760000.

The previous prime is 2420734339. The next prime is 2420734369. The reversal of 2420734360 is 634370242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420734369) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2539644 + ... + 2540596.

It is an arithmetic number, because the mean of its divisors is an integer number (48682620).

Almost surely, 22420734360 is an apocalyptic number.

2420734360 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 2420734360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115687680).

2420734360 is an abundant number, since it is smaller than the sum of its proper divisors (3810641000).

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

2420734360 is a wasteful number, since it uses less digits than its factorization.

2420734360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 2420734360 is about 49200.9589337444. The cubic root of 2420734360 is about 1342.7104786469.

The spelling of 2420734360 in words is "two billion, four hundred twenty million, seven hundred thirty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 251 253 440 460 502 506 920 953 1004 1012 1255 1265 1906 2008 2024 2510 2530 2761 3812 4765 5020 5060 5522 5773 7624 9530 10040 10120 10483 11044 11546 13805 19060 20966 21919 22088 23092 27610 28865 38120 41932 43838 46184 52415 55220 57730 63503 83864 87676 104830 109595 110440 115460 127006 175352 209660 219190 230920 239203 241109 254012 317515 419320 438380 478406 482218 508024 635030 876760 956812 964436 1196015 1205545 1270060 1913624 1928872 2392030 2411090 2540120 2631233 4784060 4822180 5262466 5501669 9568120 9644360 10524932 11003338 13156165 21049864 22006676 26312330 27508345 44013352 52624660 55016690 60518359 105249320 110033380 121036718 220066760 242073436 302591795 484146872 605183590 1210367180 2420734360