Search a number
-
+
9960972 = 2237118583
BaseRepresentation
bin100101111111…
…111000001100
3200202001212220
4211333320030
510022222342
6553255340
7150444510
oct45777014
920661786
109960972
11569390a
123404550
1320a9b88
141474140
15d1b5ec
hex97fe0c

9960972 has 24 divisors (see below), whose sum is σ = 26562816. Its totient is φ = 2845968.

The previous prime is 9960971. The next prime is 9960989. The reversal of 9960972 is 2790699.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9960971) 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, 59208 + ... + 59375.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784).

Almost surely, 29960972 is an apocalyptic number.

It is an amenable number.

9960972 is an abundant number, since it is smaller than the sum of its proper divisors (16601844).

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

9960972 is a wasteful number, since it uses less digits than its factorization.

9960972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118597 (or 118595 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 9960972 is about 3156.1007588479. The cubic root of 9960972 is about 215.1628259978.

It can be divided in two parts, 99609 and 72, that added together give a triangular number (99681 = T446).

The spelling of 9960972 in words is "nine million, nine hundred sixty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 118583 237166 355749 474332 711498 830081 1422996 1660162 2490243 3320324 4980486 9960972