Search a number
-
+
31907840 = 21351941
BaseRepresentation
bin111100110111…
…0000000000000
32020001002022212
41321232000000
531132022330
63055521252
7535132526
oct171560000
966032285
1031907840
1117013918
12a829228
1367c24a3
144348316
152c04295
hex1e6e000

31907840 has 112 divisors (see below), whose sum is σ = 82570320. Its totient is φ = 11796480.

The previous prime is 31907839. The next prime is 31907857. The reversal of 31907840 is 4870913.

It is a super-2 number, since 2×319078402 = 2036220506931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 31907797 and 31907806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778220 + ... + 778260.

It is an arithmetic number, because the mean of its divisors is an integer number (737235).

Almost surely, 231907840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41285160).

31907840 is an abundant number, since it is smaller than the sum of its proper divisors (50662480).

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

31907840 is an equidigital number, since it uses as much as digits as its factorization.

31907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 31907840 is about 5648.7025058858. The cubic root of 31907840 is about 317.1751363329.

The spelling of 31907840 in words is "thirty-one million, nine hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 152 160 164 190 205 256 304 320 328 380 410 512 608 640 656 760 779 820 1024 1216 1280 1312 1520 1558 1640 2048 2432 2560 2624 3040 3116 3280 3895 4096 4864 5120 5248 6080 6232 6560 7790 8192 9728 10240 10496 12160 12464 13120 15580 19456 20480 20992 24320 24928 26240 31160 38912 40960 41984 48640 49856 52480 62320 77824 83968 97280 99712 104960 124640 155648 167936 194560 199424 209920 249280 335872 389120 398848 419840 498560 778240 797696 839680 997120 1595392 1679360 1994240 3190784 3988480 6381568 7976960 15953920 31907840