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31971996 = 2235737127
BaseRepresentation
bin111100111110…
…1101010011100
32020011100100000
41321331222130
531141100441
63101134300
7535520550
oct171755234
966140300
1031971996
1117058041
12a85a390
136815754
144363860
152c182b6
hex1e7da9c

31971996 has 144 divisors (see below), whose sum is σ = 99147776. Its totient is φ = 8817984.

The previous prime is 31971977. The next prime is 31972009. The reversal of 31971996 is 69917913.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251685 + ... + 251811.

Almost surely, 231971996 is an apocalyptic number.

31971996 is a gapful number since it is divisible by the number (36) 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 31971996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49573888).

31971996 is an abundant number, since it is smaller than the sum of its proper divisors (67175780).

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

31971996 is a wasteful number, since it uses less digits than its factorization.

31971996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its digits is 91854, while the sum is 45.

The square root of 31971996 is about 5654.3784804344. The cubic root of 31971996 is about 317.3875717419.

The spelling of 31971996 in words is "thirty-one million, nine hundred seventy-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 127 148 162 189 222 243 252 254 259 324 333 378 381 444 486 508 518 567 666 756 762 777 889 972 999 1036 1134 1143 1332 1524 1554 1701 1778 1998 2268 2286 2331 2667 2997 3108 3402 3429 3556 3996 4572 4662 4699 5334 5994 6804 6858 6993 8001 8991 9324 9398 10287 10668 11988 13716 13986 14097 16002 17982 18796 20574 20979 24003 27972 28194 30861 32004 32893 35964 41148 41958 42291 48006 56388 61722 62937 65786 72009 83916 84582 96012 98679 123444 125874 126873 131572 144018 169164 197358 216027 251748 253746 288036 296037 380619 394716 432054 507492 592074 761238 864108 888111 1141857 1184148 1522476 1776222 2283714 2664333 3552444 4567428 5328666 7992999 10657332 15985998 31971996