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31890096 = 24327171861
BaseRepresentation
bin111100110100…
…1101010110000
32020000011222200
41321221222300
531130440341
63055303200
7535030020
oct171515260
966004880
1031890096
1117001557
12a81ab00
1367b73a4
144341a80
152beddb6
hex1e69ab0

31890096 has 120 divisors (see below), whose sum is σ = 108055584. Its totient is φ = 8570880.

The previous prime is 31890091. The next prime is 31890101. The reversal of 31890096 is 69009813.

It is an interprime number because it is at equal distance from previous prime (31890091) and next prime (31890101).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31890096.

It is not an unprimeable number, because it can be changed into a prime (31890091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16206 + ... + 18066.

Almost surely, 231890096 is an apocalyptic number.

31890096 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 31890096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

31890096 is an abundant number, since it is smaller than the sum of its proper divisors (76165488).

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

31890096 is a wasteful number, since it uses less digits than its factorization.

31890096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 31890096 is about 5647.1316612950. The cubic root of 31890096 is about 317.1163315670.

The spelling of 31890096 in words is "thirty-one million, eight hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1861 1904 2142 2448 2856 3722 4284 5583 5712 7444 8568 11166 13027 14888 16749 17136 22332 26054 29776 31637 33498 39081 44664 52108 63274 66996 78162 89328 94911 104216 117243 126548 133992 156324 189822 208432 221459 234486 253096 267984 284733 312648 379644 442918 468972 506192 569466 625296 664377 759288 885836 937944 1138932 1328754 1518576 1771672 1875888 1993131 2277864 2657508 3543344 3986262 4555728 5315016 7972524 10630032 15945048 31890096