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31196280 = 23352389127
BaseRepresentation
bin111011100000…
…0010001111000
32011200221020210
41313000101320
530441240110
63032351120
7526110153
oct167002170
964627223
1031196280
1116678255
12a5454a0
13660364b
144200c9a
152b13520
hex1dc0478

31196280 has 128 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 7805952.

The previous prime is 31196227. The next prime is 31196281. The reversal of 31196280 is 8269113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31196281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245577 + ... + 245703.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 231196280 is an apocalyptic number.

31196280 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 31196280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49766400).

31196280 is an abundant number, since it is smaller than the sum of its proper divisors (68336520).

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

31196280 is a wasteful number, since it uses less digits than its factorization.

31196280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 31196280 is about 5585.3630141648. The cubic root of 31196280 is about 314.7996710627.

The spelling of 31196280 in words is "thirty-one million, one hundred ninety-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 89 92 115 120 127 138 178 184 230 254 267 276 345 356 381 445 460 508 534 552 635 690 712 762 890 920 1016 1068 1270 1335 1380 1524 1780 1905 2047 2136 2540 2670 2760 2921 3048 3560 3810 4094 5080 5340 5842 6141 7620 8188 8763 10235 10680 11303 11684 12282 14605 15240 16376 17526 20470 22606 23368 24564 29210 30705 33909 35052 40940 43815 45212 49128 56515 58420 61410 67818 70104 81880 87630 90424 113030 116840 122820 135636 169545 175260 226060 245640 259969 271272 339090 350520 452120 519938 678180 779907 1039876 1299845 1356360 1559814 2079752 2599690 3119628 3899535 5199380 6239256 7799070 10398760 15598140 31196280