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972040540 = 225157130937
BaseRepresentation
bin111001111100000…
…010100101011100
32111202001202221111
4321330002211130
53442320244130
6240242111404
733042131302
oct7174024534
92452052844
10972040540
11459767499
1223164b564
131264cac23
1493150272
155a50c02a
hex39f0295c

972040540 has 24 divisors (see below), whose sum is σ = 2042650512. Its totient is φ = 388556160.

The previous prime is 972040529. The next prime is 972040547. The reversal of 972040540 is 45040279.

972040540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9720405402 = 1889725622806983200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972040547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15952 + ... + 46888.

It is an arithmetic number, because the mean of its divisors is an integer number (85110438).

Almost surely, 2972040540 is an apocalyptic number.

It is an amenable number.

972040540 is an abundant number, since it is smaller than the sum of its proper divisors (1070609972).

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

972040540 is a wasteful number, since it uses less digits than its factorization.

972040540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32517 (or 32515 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 972040540 is about 31177.5646900139. The cubic root of 972040540 is about 990.5919460953.

The spelling of 972040540 in words is "nine hundred seventy-two million, forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1571 3142 6284 7855 15710 30937 31420 61874 123748 154685 309370 618740 48602027 97204054 194408108 243010135 486020270 972040540