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31912920 = 23335132273
BaseRepresentation
bin111100110111…
…1001111011000
32020001100022000
41321233033120
531132203140
63100001000
7535153404
oct171571730
966040260
1031912920
1117017716
12a830160
1367c48b0
14434a104
152c05a30
hex1e6f3d8

31912920 has 128 divisors (see below), whose sum is σ = 114609600. Its totient is φ = 7852032.

The previous prime is 31912901. The next prime is 31912921. The reversal of 31912920 is 2921913.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31912921) 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, 12904 + ... + 15176.

Almost surely, 231912920 is an apocalyptic number.

31912920 is a gapful number since it is divisible by the number (30) 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 31912920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57304800).

31912920 is an abundant number, since it is smaller than the sum of its proper divisors (82696680).

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

31912920 is a wasteful number, since it uses less digits than its factorization.

31912920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 31912920 is about 5649.1521487742. The cubic root of 31912920 is about 317.1919677677.

The spelling of 31912920 in words is "thirty-one million, nine hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2273 2340 2808 3510 4546 4680 6819 7020 9092 11365 13638 14040 18184 20457 22730 27276 29549 34095 40914 45460 54552 59098 61371 68190 81828 88647 90920 102285 118196 122742 136380 147745 163656 177294 204570 236392 245484 265941 272760 295490 306855 354588 409140 443235 490968 531882 590980 613710 709176 797823 818280 886470 1063764 1181960 1227420 1329705 1595646 1772940 2127528 2454840 2659410 3191292 3545880 3989115 5318820 6382584 7978230 10637640 15956460 31912920