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31396680 = 2333574153
BaseRepresentation
bin111011111000…
…1001101001000
32012002010011000
41313301031020
531014143210
63040535000
7530603340
oct167611510
965063130
1031396680
11167a4877
12a621460
136673923
144253d20
152b52ac0
hex1df1348

31396680 has 128 divisors (see below), whose sum is σ = 119635200. Its totient is φ = 7174656.

The previous prime is 31396663. The next prime is 31396691. The reversal of 31396680 is 8669313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5484 + ... + 9636.

It is an arithmetic number, because the mean of its divisors is an integer number (934650).

Almost surely, 231396680 is an apocalyptic number.

31396680 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 31396680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59817600).

31396680 is an abundant number, since it is smaller than the sum of its proper divisors (88238520).

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

31396680 is a wasteful number, since it uses less digits than its factorization.

31396680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 31396680 is about 5603.2740429146. The cubic root of 31396680 is about 315.4723073469.

The spelling of 31396680 in words is "thirty-one million, three hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 4153 7560 8306 12459 16612 20765 24918 29071 33224 37377 41530 49836 58142 62295 74754 83060 87213 99672 112131 116284 124590 145355 149508 166120 174426 186885 224262 232568 249180 261639 290710 299016 348852 373770 436065 448524 498360 523278 560655 581420 697704 747540 784917 872130 897048 1046556 1121310 1162840 1308195 1495080 1569834 1744260 2093112 2242620 2616390 3139668 3488520 3924585 4485240 5232780 6279336 7849170 10465560 15698340 31396680