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972079080 = 233571157237
BaseRepresentation
bin111001111100001…
…011111111101000
32111202010201210220
4321330023333220
53442323012310
6240243010040
733042351540
oct7174137750
92452121726
10972079080
11459793445
12231669920
1312651262b
1493160320
155a518670
hex39f0bfe8

972079080 has 64 divisors (see below), whose sum is σ = 3332845440. Its totient is φ = 222189312.

The previous prime is 972079039. The next prime is 972079117. The reversal of 972079080 is 80970279.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577779 + ... + 579458.

It is an arithmetic number, because the mean of its divisors is an integer number (52075710).

Almost surely, 2972079080 is an apocalyptic number.

It is an amenable number.

972079080 is an abundant number, since it is smaller than the sum of its proper divisors (2360766360).

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

972079080 is a wasteful number, since it uses less digits than its factorization.

972079080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157258 (or 1157254 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 972079080 is about 31178.1827565367. The cubic root of 972079080 is about 990.6050377678.

The spelling of 972079080 in words is "nine hundred seventy-two million, seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1157237 2314474 3471711 4628948 5786185 6943422 8100659 9257896 11572370 13886844 16201318 17358555 23144740 24301977 27773688 32402636 34717110 40503295 46289480 48603954 64805272 69434220 81006590 97207908 121509885 138868440 162013180 194415816 243019770 324026360 486039540 972079080