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31389696 = 2113213131
BaseRepresentation
bin111011110111…
…1100000000000
32012001202120100
41313233200000
531013432241
63040442400
7530544102
oct167574000
965052510
1031389696
111679a5a8
12a619400
1366706b0
144251572
152b509b6
hex1def800

31389696 has 144 divisors (see below), whose sum is σ = 98378280. Its totient is φ = 9584640.

The previous prime is 31389671. The next prime is 31389697. The reversal of 31389696 is 69698313.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31389697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239551 + ... + 239681.

Almost surely, 231389696 is an apocalyptic number.

31389696 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 31389696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49189140).

31389696 is an abundant number, since it is smaller than the sum of its proper divisors (66988584).

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

31389696 is a wasteful number, since it uses less digits than its factorization.

31389696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 31389696 is about 5602.6508011833. The cubic root of 31389696 is about 315.4489139819.

It can be divided in two parts, 313 and 89696, that added together give a palindrome (90009).

The spelling of 31389696 in words is "thirty-one million, three hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 131 144 156 192 208 234 256 262 288 312 384 393 416 468 512 524 576 624 768 786 832 936 1024 1048 1152 1179 1248 1536 1572 1664 1703 1872 2048 2096 2304 2358 2496 3072 3144 3328 3406 3744 4192 4608 4716 4992 5109 6144 6288 6656 6812 7488 8384 9216 9432 9984 10218 12576 13312 13624 14976 15327 16768 18432 18864 19968 20436 25152 26624 27248 29952 30654 33536 37728 39936 40872 50304 54496 59904 61308 67072 75456 79872 81744 100608 108992 119808 122616 134144 150912 163488 201216 217984 239616 245232 268288 301824 326976 402432 435968 490464 603648 653952 804864 871936 980928 1207296 1307904 1743872 1961856 2414592 2615808 3487744 3923712 5231616 7847424 10463232 15694848 31389696