Search a number
-
+
974960064 = 263413172337
BaseRepresentation
bin111010000111001…
…011010111000000
32111221120002210000
4322013023113000
53444042210224
6240424440000
733106011111
oct7207132700
92457502700
10974960064
11460380a21
12232619000
13126cb0a60
14936b0208
155a8d70c9
hex3a1cb5c0

974960064 has 560 divisors, whose sum is σ = 3531705408. Its totient is φ = 262766592.

The previous prime is 974960017. The next prime is 974960111. The reversal of 974960064 is 460069479.

It is an interprime number because it is at equal distance from previous prime (974960017) and next prime (974960111).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26350254 + ... + 26350290.

Almost surely, 2974960064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765852704).

974960064 is an abundant number, since it is smaller than the sum of its proper divisors (2556745344).

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

974960064 is a wasteful number, since it uses less digits than its factorization.

974960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 974960064 is about 31224.3504976485. The cubic root of 974960064 is about 991.5827025615.

The spelling of 974960064 in words is "nine hundred seventy-four million, nine hundred sixty thousand, sixty-four".