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420915816 = 233219307687
BaseRepresentation
bin11001000101101…
…010101001101000
31002100000201221200
4121011222221220
51330223301231
6105433404200
713300503546
oct3105525150
91070021850
10420915816
111a6661312
12b8b69660
1369285819
143dc8ad96
1526e45be6
hex1916aa68

420915816 has 48 divisors (see below), whose sum is σ = 1199983200. Its totient is φ = 132920352.

The previous prime is 420915809. The next prime is 420915829. The reversal of 420915816 is 618519024.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 152476 + ... + 155211.

It is an arithmetic number, because the mean of its divisors is an integer number (24999650).

Almost surely, 2420915816 is an apocalyptic number.

It is an amenable number.

420915816 is an abundant number, since it is smaller than the sum of its proper divisors (779067384).

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

420915816 is a wasteful number, since it uses less digits than its factorization.

420915816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307718 (or 307711 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 420915816 is about 20516.2329875638. The cubic root of 420915816 is about 749.4311633422.

The spelling of 420915816 in words is "four hundred twenty million, nine hundred fifteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 307687 615374 923061 1230748 1846122 2461496 2769183 3692244 5538366 5846053 7384488 11076732 11692106 17538159 22153464 23384212 35076318 46768424 52614477 70152636 105228954 140305272 210457908 420915816