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31002072 = 2331967987
BaseRepresentation
bin111011001000…
…0110111011000
32011100001211220
41312100313120
530414031242
63024252040
7524341023
oct166206730
964301756
1031002072
1116555352
12a471020
13656612a
1441901ba
152ac5bec
hex1d90dd8

31002072 has 32 divisors (see below), whose sum is σ = 81585600. Its totient is φ = 9789984.

The previous prime is 31002061. The next prime is 31002089. The reversal of 31002072 is 27020013.

It is a super-2 number, since 2×310020722 = 1922256936586368, 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 7 ways as a sum of consecutive naturals, for example, 33538 + ... + 34449.

It is an arithmetic number, because the mean of its divisors is an integer number (2549550).

Almost surely, 231002072 is an apocalyptic number.

It is an amenable number.

31002072 is an abundant number, since it is smaller than the sum of its proper divisors (50583528).

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

31002072 is a wasteful number, since it uses less digits than its factorization.

31002072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68015 (or 68011 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 31002072 is about 5567.9504308138. The cubic root of 31002072 is about 314.1450639442.

Adding to 31002072 its reverse (27020013), we get a palindrome (58022085).

The spelling of 31002072 in words is "thirty-one million, two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 67987 135974 203961 271948 407922 543896 815844 1291753 1631688 2583506 3875259 5167012 7750518 10334024 15501036 31002072