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31013984 = 2517471213
BaseRepresentation
bin111011001001…
…1110001100000
32011100200012002
41312103301200
530414421414
63024423132
7524420531
oct166236140
964320162
1031013984
11165632a1
12a477aa8
13656b691
144194688
152ac94de
hex1d93c60

31013984 has 48 divisors (see below), whose sum is σ = 66080448. Its totient is φ = 14272512.

The previous prime is 31013971. The next prime is 31013993. The reversal of 31013984 is 48931013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24962 + ... + 26174.

It is an arithmetic number, because the mean of its divisors is an integer number (1376676).

Almost surely, 231013984 is an apocalyptic number.

31013984 is a gapful number since it is divisible by the number (34) 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 31013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33040224).

31013984 is an abundant number, since it is smaller than the sum of its proper divisors (35066464).

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

31013984 is a wasteful number, since it uses less digits than its factorization.

31013984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 31013984 is about 5569.0200215119. The cubic root of 31013984 is about 314.1852936943.

Adding to 31013984 its reverse (48931013), we get a palindrome (79944997).

It can be divided in two parts, 310 and 13984, that multiplied together give a triangular number (4335040 = T2944).

The spelling of 31013984 in words is "thirty-one million, thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 188 272 376 544 752 799 1213 1504 1598 2426 3196 4852 6392 9704 12784 19408 20621 25568 38816 41242 57011 82484 114022 164968 228044 329936 456088 659872 912176 969187 1824352 1938374 3876748 7753496 15506992 31013984