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13372704 = 253259787
BaseRepresentation
bin110011000000…
…110100100000
3221011101220100
4303000310200
511410411304
61154342400
7221444322
oct63006440
927141810
1013372704
117604124
12458aa00
132a02a57
141ac1612
151292439
hexcc0d20

13372704 has 72 divisors (see below), whose sum is σ = 38722320. Its totient is φ = 4376448.

The previous prime is 13372679. The next prime is 13372717. The reversal of 13372704 is 40727331.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16599 + ... + 17385.

It is an arithmetic number, because the mean of its divisors is an integer number (537810).

Almost surely, 213372704 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 13372704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361160).

13372704 is an abundant number, since it is smaller than the sum of its proper divisors (25349616).

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

13372704 is a wasteful number, since it uses less digits than its factorization.

13372704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13372704 is about 3656.8707934517. The cubic root of 13372704 is about 237.3593863865.

The spelling of 13372704 in words is "thirteen million, three hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 787 944 1062 1416 1574 1888 2124 2361 2832 3148 4248 4722 5664 6296 7083 8496 9444 12592 14166 16992 18888 25184 28332 37776 46433 56664 75552 92866 113328 139299 185732 226656 278598 371464 417897 557196 742928 835794 1114392 1485856 1671588 2228784 3343176 4457568 6686352 13372704