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972811980 = 223257772073
BaseRepresentation
bin111001111110111…
…110111011001100
32111210111222011100
4321332332323030
53443014440410
6240310423100
733051523350
oct7176767314
92453458140
10972811980
1145a144048
12231961a90
1312670b0ba
14932b1460
155a6108c0
hex39fbeecc

972811980 has 72 divisors (see below), whose sum is σ = 3372419232. Its totient is φ = 222356736.

The previous prime is 972811963. The next prime is 972811991. The reversal of 972811980 is 89118279.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 384777 + ... + 387296.

It is an arithmetic number, because the mean of its divisors is an integer number (46839156).

Almost surely, 2972811980 is an apocalyptic number.

972811980 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

972811980 is an abundant number, since it is smaller than the sum of its proper divisors (2399607252).

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

972811980 is a wasteful number, since it uses less digits than its factorization.

972811980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772095 (or 772090 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 972811980 is about 31189.9339531202. The cubic root of 972811980 is about 990.8539311153.

The spelling of 972811980 in words is "nine hundred seventy-two million, eight hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 772073 1544146 2316219 3088292 3860365 4632438 5404511 6948657 7720730 9264876 10809022 11581095 13897314 15441460 16213533 21618044 23162190 27022555 27794628 32427066 34743285 46324380 48640599 54045110 64854132 69486570 81067665 97281198 108090220 138973140 162135330 194562396 243202995 324270660 486405990 972811980