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31981140 = 223251271399
BaseRepresentation
bin111100111111…
…1111001010100
32020011210212200
41321333321110
531141344030
63101244500
7535556322
oct171777124
966153780
1031981140
11170639a4
12a863730
136819969
144366d12
152c1ad60
hex1e7fe54

31981140 has 72 divisors (see below), whose sum is σ = 97843200. Its totient is φ = 8455104.

The previous prime is 31981133. The next prime is 31981193. The reversal of 31981140 is 4118913.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22161 + ... + 23559.

Almost surely, 231981140 is an apocalyptic number.

31981140 is a gapful number since it is divisible by the number (30) 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 31981140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48921600).

31981140 is an abundant number, since it is smaller than the sum of its proper divisors (65862060).

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

31981140 is a wasteful number, since it uses less digits than its factorization.

31981140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 31981140 is about 5655.1869995607. The cubic root of 31981140 is about 317.4178265032.

The spelling of 31981140 in words is "thirty-one million, nine hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1399 1524 1905 2286 2540 2798 3810 4197 4572 5596 5715 6995 7620 8394 11430 12591 13990 16788 20985 22860 25182 27980 41970 50364 62955 83940 125910 177673 251820 355346 533019 710692 888365 1066038 1599057 1776730 2132076 2665095 3198114 3553460 5330190 6396228 7995285 10660380 15990570 31981140