Search a number
-
+
974868480 = 2123354143
BaseRepresentation
bin111010000110110…
…101000000000000
32111221101110011000
4322012311000000
53444031242410
6240422452000
733105150105
oct7206650000
92457343130
10974868480
11460319133
12232594000
13126c7b171
1493688aac
155a8b9dc0
hex3a1b5000

974868480 has 416 divisors, whose sum is σ = 3632872320. Its totient is φ = 247726080.

The previous prime is 974868457. The next prime is 974868481. The reversal of 974868480 is 84868479.

974868480 is a `hidden beast` number, since 9 + 7 + 486 + 84 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974868481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22671339 + ... + 22671381.

Almost surely, 2974868480 is an apocalyptic number.

974868480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816436160).

974868480 is an abundant number, since it is smaller than the sum of its proper divisors (2658003840).

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

974868480 is a wasteful number, since it uses less digits than its factorization.

974868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 974868480 is about 31222.8839154874. The cubic root of 974868480 is about 991.5516531004.

The spelling of 974868480 in words is "nine hundred seventy-four million, eight hundred sixty-eight thousand, four hundred eighty".