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31458680 = 23511195371
BaseRepresentation
bin111100000000…
…0010101111000
32012012021012022
41320000111320
531023134210
63042134012
7531252161
oct170002570
965167168
1031458680
1116837410
12a651308
136695c06
14426c768
152b66155
hex1e00578

31458680 has 128 divisors (see below), whose sum is σ = 83980800. Its totient is φ = 10483200.

The previous prime is 31458667. The next prime is 31458689. The reversal of 31458680 is 8685413.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 31458680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31458689) 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, 443045 + ... + 443115.

It is an arithmetic number, because the mean of its divisors is an integer number (656100).

Almost surely, 231458680 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 31458680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41990400).

31458680 is an abundant number, since it is smaller than the sum of its proper divisors (52522120).

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

31458680 is a wasteful number, since it uses less digits than its factorization.

31458680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 31458680 is about 5608.8037940367. The cubic root of 31458680 is about 315.6798284647.

The spelling of 31458680 in words is "thirty-one million, four hundred fifty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 53 55 71 76 88 95 106 110 142 152 190 209 212 220 265 284 355 380 418 424 440 530 568 583 710 760 781 836 1007 1045 1060 1166 1349 1420 1562 1672 2014 2090 2120 2332 2698 2840 2915 3124 3763 3905 4028 4180 4664 5035 5396 5830 6248 6745 7526 7810 8056 8360 10070 10792 11077 11660 13490 14839 15052 15620 18815 20140 22154 23320 26980 29678 30104 31240 37630 40280 41393 44308 53960 55385 59356 71497 74195 75260 82786 88616 110770 118712 142994 148390 150520 165572 206965 221540 285988 296780 331144 357485 413930 443080 571976 593560 714970 786467 827860 1429940 1572934 1655720 2859880 3145868 3932335 6291736 7864670 15729340 31458680