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972985660 = 22553979463
BaseRepresentation
bin111001111111101…
…001010100111100
32111210211210101221
4321333221110330
53443041020120
6240314243124
733053145613
oct7177512474
92453753357
10972985660
1145a252589
12231a264a4
1312676c17a
149331887a
155a6470aa
hex39fe953c

972985660 has 48 divisors (see below), whose sum is σ = 2103506496. Its totient is φ = 377874432.

The previous prime is 972985613. The next prime is 972985669. The reversal of 972985660 is 66589279.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 972985598 and 972985607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972985669) by changing a digit.

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, 98089 + ... + 107551.

It is an arithmetic number, because the mean of its divisors is an integer number (43823052).

Almost surely, 2972985660 is an apocalyptic number.

It is an amenable number.

972985660 is an abundant number, since it is smaller than the sum of its proper divisors (1130520836).

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

972985660 is a wasteful number, since it uses less digits than its factorization.

972985660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9622 (or 9620 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The square root of 972985660 is about 31192.7180604705. The cubic root of 972985660 is about 990.9128946402.

The spelling of 972985660 in words is "nine hundred seventy-two million, nine hundred eighty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 53 97 106 194 212 265 388 485 530 970 1060 1940 5141 9463 10282 18926 20564 25705 37852 47315 51410 94630 102820 189260 501539 917911 1003078 1835822 2006156 2507695 3671644 4589555 5015390 9179110 10030780 18358220 48649283 97298566 194597132 243246415 486492830 972985660