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31600980 = 223254192
BaseRepresentation
bin111100010001…
…1000101010100
32012110111101200
41320203011110
531042212410
63045152500
7532414065
oct170430524
965414350
1031600980
1116924314
12a6bb730
136715908
1442a856c
152b933c0
hex1e23154

31600980 has 54 divisors (see below), whose sum is σ = 96085626. Its totient is φ = 8406816.

The previous prime is 31600969. The next prime is 31600993. The reversal of 31600980 is 8900613.

It can be written as a sum of positive squares in only one way, i.e., 25280784 + 6320196 = 5028^2 + 2514^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 75211 + ... + 75629.

Almost surely, 231600980 is an apocalyptic number.

31600980 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 31600980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48042813).

31600980 is an abundant number, since it is smaller than the sum of its proper divisors (64484646).

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

31600980 is a wasteful number, since it uses less digits than its factorization.

31600980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 31600980 is about 5621.4748954345. The cubic root of 31600980 is about 316.1550939785.

The spelling of 31600980 in words is "thirty-one million, six hundred thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 419 838 1257 1676 2095 2514 3771 4190 5028 6285 7542 8380 12570 15084 18855 25140 37710 75420 175561 351122 526683 702244 877805 1053366 1580049 1755610 2106732 2633415 3160098 3511220 5266830 6320196 7900245 10533660 15800490 31600980