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31083920 = 2457471181
BaseRepresentation
bin111011010010…
…0110110010000
32011111020010022
41312210312100
530424141140
63030123012
7525131450
oct166446620
964436108
1031083920
111660089a
12a4b0468
13659446a
1441b1d60
152ae00b5
hex1da4d90

31083920 has 80 divisors (see below), whose sum is σ = 84423168. Its totient is φ = 10421760.

The previous prime is 31083919. The next prime is 31083929. The reversal of 31083920 is 2938013.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 31083920.

It is not an unprimeable number, because it can be changed into a prime (31083929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25730 + ... + 26910.

Almost surely, 231083920 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 31083920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42211584).

31083920 is an abundant number, since it is smaller than the sum of its proper divisors (53339248).

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

31083920 is a wasteful number, since it uses less digits than its factorization.

31083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 31083920 is about 5575.2955078632. The cubic root of 31083920 is about 314.4212772130.

The spelling of 31083920 in words is "thirty-one million, eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1181 1316 1645 1880 2362 2632 3290 3760 4724 5264 5905 6580 8267 9448 11810 13160 16534 18896 23620 26320 33068 41335 47240 55507 66136 82670 94480 111014 132272 165340 222028 277535 330680 388549 444056 555070 661360 777098 888112 1110140 1554196 1942745 2220280 3108392 3885490 4440560 6216784 7770980 15541960 31083920