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972432040 = 235101240701
BaseRepresentation
bin111001111101100…
…010001010101000
32111202210122222111
4321331202022220
53442420311130
6240254332104
733045351556
oct7175421250
92452718874
10972432040
11459a04648
122317ba034
13126607198
1493212bd6
155a58802a
hex39f622a8

972432040 has 32 divisors (see below), whose sum is σ = 2209644360. Its totient is φ = 385120000.

The previous prime is 972432023. The next prime is 972432059. The reversal of 972432040 is 40234279.

972432040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 967583236 + 4848804 = 31106^2 + 2202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 972431993 and 972432011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116311 + ... + 124390.

Almost surely, 2972432040 is an apocalyptic number.

It is an amenable number.

972432040 is an abundant number, since it is smaller than the sum of its proper divisors (1237212320).

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

972432040 is a wasteful number, since it uses less digits than its factorization.

972432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240813 (or 240809 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 972432040 is about 31183.8426111985. The cubic root of 972432040 is about 990.7249188390.

The spelling of 972432040 in words is "nine hundred seventy-two million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 240701 481402 962804 1203505 1925608 2407010 4814020 9628040 24310801 48621602 97243204 121554005 194486408 243108010 486216020 972432040