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972433140 = 223572315317
BaseRepresentation
bin111001111101100…
…010011011110100
32111202210201111020
4321331202123310
53442420330030
6240254341140
733045355020
oct7175423364
92452721436
10972433140
11459a05458
122317ba7b0
13126607833
1493213380
155a588510
hex39f626f4

972433140 has 48 divisors (see below), whose sum is σ = 3111787392. Its totient is φ = 222270336.

The previous prime is 972433097. The next prime is 972433181. The reversal of 972433140 is 41334279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157239 + ... + 1158078.

It is an arithmetic number, because the mean of its divisors is an integer number (64828904).

Almost surely, 2972433140 is an apocalyptic number.

It is an amenable number.

972433140 is an abundant number, since it is smaller than the sum of its proper divisors (2139354252).

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

972433140 is a wasteful number, since it uses less digits than its factorization.

972433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315336 (or 2315334 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 972433140 is about 31183.8602485324. The cubic root of 972433140 is about 990.7252924031.

The spelling of 972433140 in words is "nine hundred seventy-two million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2315317 4630634 6945951 9261268 11576585 13891902 16207219 23153170 27783804 32414438 34729755 46306340 48621657 64828876 69459510 81036095 97243314 138919020 162072190 194486628 243108285 324144380 486216570 972433140