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933420920 = 2351074672
BaseRepresentation
bin110111101000101…
…101111101111000
32102001101200210012
4313220231331320
53402423432140
6232342241052
732062642535
oct6750557570
92361350705
10933420920
11439989a53
12220726188
1311b4c8793
148bd79d8c
1556e2e265
hex37a2df78

933420920 has 48 divisors (see below), whose sum is σ = 2124374040. Its totient is φ = 369086912.

The previous prime is 933420911. The next prime is 933420931. The reversal of 933420920 is 29024339.

It is a super-2 number, since 2×9334209202 = 1742549227787292800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1998527 + ... + 1998993.

Almost surely, 2933420920 is an apocalyptic number.

It is an amenable number.

933420920 is an abundant number, since it is smaller than the sum of its proper divisors (1190953120).

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

933420920 is a wasteful number, since it uses less digits than its factorization.

933420920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 933420920 is about 30551.9380727312. The cubic root of 933420920 is about 977.2953747365.

The spelling of 933420920 in words is "nine hundred thirty-three million, four hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 467 535 856 934 1070 1868 2140 2335 3736 4280 4670 9340 18680 49969 99938 199876 218089 249845 399752 436178 499690 872356 999380 1090445 1744712 1998760 2180890 4361780 8723560 23335523 46671046 93342092 116677615 186684184 233355230 466710460 933420920