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972084690 = 232510800941
BaseRepresentation
bin111001111100001…
…101010111010010
32111202011000111200
4321330031113102
53442323202230
6240243052030
733042404103
oct7174152722
92452130450
10972084690
11459797685
12231671016
13126515055
14931623aa
155a51a160
hex39f0d5d2

972084690 has 24 divisors (see below), whose sum is σ = 2527420428. Its totient is φ = 259222560.

The previous prime is 972084679. The next prime is 972084731. The reversal of 972084690 is 96480279.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 817902801 + 154181889 = 28599^2 + 12417^2 .

It is a super-2 number, since 2×9720846902 = 1889897289064792200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5400381 + ... + 5400560.

Almost surely, 2972084690 is an apocalyptic number.

972084690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

972084690 is an abundant number, since it is smaller than the sum of its proper divisors (1555335738).

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

972084690 is a wasteful number, since it uses less digits than its factorization.

972084690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800954 (or 10800951 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 972084690 is about 31178.2727231641. The cubic root of 972084690 is about 990.6069434027.

The spelling of 972084690 in words is "nine hundred seventy-two million, eighty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 10800941 21601882 32402823 54004705 64805646 97208469 108009410 162014115 194416938 324028230 486042345 972084690