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31382680 = 23571719347
BaseRepresentation
bin111011110110…
…1110010011000
32012001101221111
41313231302120
531013221210
63040350104
7530514460
oct167556230
965041844
1031382680
11167952aa
12a615334
13666a444
14424cba0
152b4d88a
hex1dedc98

31382680 has 128 divisors (see below), whose sum is σ = 90201600. Its totient is φ = 9566208.

The previous prime is 31382677. The next prime is 31382693. The reversal of 31382680 is 8628313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90267 + ... + 90613.

It is an arithmetic number, because the mean of its divisors is an integer number (704700).

Almost surely, 231382680 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 31382680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45100800).

31382680 is an abundant number, since it is smaller than the sum of its proper divisors (58818920).

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

31382680 is a wasteful number, since it uses less digits than its factorization.

31382680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 31382680 is about 5602.0246340051. The cubic root of 31382680 is about 315.4254099368.

The spelling of 31382680 in words is "thirty-one million, three hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 19 20 28 34 35 38 40 56 68 70 76 85 95 119 133 136 140 152 170 190 238 266 280 323 340 347 380 476 532 595 646 665 680 694 760 952 1064 1190 1292 1330 1388 1615 1735 2261 2380 2429 2584 2660 2776 3230 3470 4522 4760 4858 5320 5899 6460 6593 6940 9044 9716 11305 11798 12145 12920 13186 13880 18088 19432 22610 23596 24290 26372 29495 32965 41293 45220 46151 47192 48580 52744 58990 65930 82586 90440 92302 97160 112081 117980 131860 165172 184604 206465 224162 230755 235960 263720 330344 369208 412930 448324 461510 560405 784567 825860 896648 923020 1120810 1569134 1651720 1846040 2241620 3138268 3922835 4483240 6276536 7845670 15691340 31382680