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420750096 = 243132923251
BaseRepresentation
bin11001000101000…
…010001100010000
31002022201022121220
4121011002030100
51330203000341
6105430045040
713266213444
oct3105021420
91068638556
10420750096
111a6558858
12b8aa9780
1369228270
143dc46824
1526e11a66
hex19142310

420750096 has 80 divisors (see below), whose sum is σ = 1210964160. Its totient is φ = 124992000.

The previous prime is 420750059. The next prime is 420750097. The reversal of 420750096 is 690057024.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (420750097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6471 + ... + 29721.

It is an arithmetic number, because the mean of its divisors is an integer number (15137052).

Almost surely, 2420750096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420750096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605482080).

420750096 is an abundant number, since it is smaller than the sum of its proper divisors (790214064).

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

420750096 is a wasteful number, since it uses less digits than its factorization.

420750096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23304 (or 23298 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 420750096 is about 20512.1938368376. The cubic root of 420750096 is about 749.3327968515.

The spelling of 420750096 in words is "four hundred twenty million, seven hundred fifty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 23251 46502 69753 93004 139506 186008 279012 302263 372016 558024 604526 674279 906789 1116048 1209052 1348558 1813578 2022837 2418104 2697116 3627156 4045674 4836208 5394232 7254312 8091348 8765627 10788464 14508624 16182696 17531254 26296881 32365392 35062508 52593762 70125016 105187524 140250032 210375048 420750096