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31990896 = 2433771149
BaseRepresentation
bin111101000001…
…0010001110000
32020012022021000
41322002101300
531142202041
63101402000
7535626630
oct172022160
966168230
1031990896
1117070263
12a869300
136821232
14436a6c0
152c1dbb6
hex1e82470

31990896 has 160 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 8951040.

The previous prime is 31990831. The next prime is 31990897. The reversal of 31990896 is 69809913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31990897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214630 + ... + 214778.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 231990896 is an apocalyptic number.

31990896 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 31990896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

31990896 is an abundant number, since it is smaller than the sum of its proper divisors (75145104).

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

31990896 is a wasteful number, since it uses less digits than its factorization.

31990896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 31990896 is about 5656.0495047338. The cubic root of 31990896 is about 317.4500998314.

The spelling of 31990896 in words is "thirty-one million, nine hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 71 72 84 108 112 126 142 144 149 168 189 213 216 252 284 298 336 378 426 432 447 497 504 568 596 639 756 852 894 994 1008 1043 1136 1192 1278 1341 1491 1512 1704 1788 1917 1988 2086 2384 2556 2682 2982 3024 3129 3408 3576 3834 3976 4023 4172 4473 5112 5364 5964 6258 7152 7668 7952 8046 8344 8946 9387 10224 10579 10728 11928 12516 13419 15336 16092 16688 17892 18774 21158 21456 23856 25032 26838 28161 30672 31737 32184 35784 37548 42316 50064 53676 56322 63474 64368 71568 74053 75096 84632 95211 107352 112644 126948 148106 150192 169264 190422 214704 222159 225288 253896 285633 296212 380844 444318 450576 507792 571266 592424 666477 761688 888636 1142532 1184848 1332954 1523376 1777272 1999431 2285064 2665908 3554544 3998862 4570128 5331816 7997724 10663632 15995448 31990896