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9960704 = 28134173
BaseRepresentation
bin100101111111…
…110100000000
3200202001111222
4211333310000
510022220304
6553254212
7150443645
oct45776400
920661458
109960704
115693696
123404368
1320a9a10
141473dcc
15d1b4be
hex97fd00

9960704 has 72 divisors (see below), whose sum is σ = 22234632. Its totient is φ = 4423680.

The previous prime is 9960683. The next prime is 9960719. The reversal of 9960704 is 4070699.

It is a happy number.

9960704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 9935104 = 160^2 + 3152^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136412 + ... + 136484.

Almost surely, 29960704 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 9960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117316).

9960704 is an abundant number, since it is smaller than the sum of its proper divisors (12273928).

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

9960704 is a wasteful number, since it uses less digits than its factorization.

9960704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 9960704 is about 3156.0583011092. The cubic root of 9960704 is about 215.1608963282.

The spelling of 9960704 in words is "nine million, nine hundred sixty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 73 82 104 128 146 164 208 256 292 328 416 533 584 656 832 949 1066 1168 1312 1664 1898 2132 2336 2624 2993 3328 3796 4264 4672 5248 5986 7592 8528 9344 10496 11972 15184 17056 18688 23944 30368 34112 38909 47888 60736 68224 77818 95776 121472 136448 155636 191552 242944 311272 383104 622544 766208 1245088 2490176 4980352 9960704