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31989240 = 23325175227
BaseRepresentation
bin111101000000…
…1110111111000
32020012012222200
41322001313320
531142123430
63101350200
7535622043
oct172016770
966165880
1031989240
1117069a98
12a868360
13682055a
144369c5a
152c1d460
hex1e81df8

31989240 has 96 divisors (see below), whose sum is σ = 110101680. Its totient is φ = 8027136.

The previous prime is 31989229. The next prime is 31989259. The reversal of 31989240 is 4298913.

It is a super-2 number, since 2×319892402 = 2046622951555200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31989195 and 31989204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3507 + ... + 8733.

Almost surely, 231989240 is an apocalyptic number.

31989240 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 31989240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55050840).

31989240 is an abundant number, since it is smaller than the sum of its proper divisors (78112440).

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

31989240 is a wasteful number, since it uses less digits than its factorization.

31989240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 31989240 is about 5655.9031109099. The cubic root of 31989240 is about 317.4446221642. Note that the first 3 decimals are identical.

The spelling of 31989240 in words is "thirty-one million, nine hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 5227 6120 10454 15681 20908 26135 31362 41816 47043 52270 62724 78405 88859 94086 104540 125448 156810 177718 188172 209080 235215 266577 313620 355436 376344 444295 470430 533154 627240 710872 799731 888590 940860 1066308 1332885 1599462 1777180 1881720 2132616 2665770 3198924 3554360 3998655 5331540 6397848 7997310 10663080 15994620 31989240