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13370976 = 2532172731
BaseRepresentation
bin110011000000…
…011001100000
3221011022112100
4303000121200
511410332401
61154330400
7221436303
oct63003140
927138470
1013370976
1176028a3
124589a00
132a02028
141ac0b3a
151291b86
hexcc0660

13370976 has 72 divisors (see below), whose sum is σ = 40275144. Its totient is φ = 4193280.

The previous prime is 13370969. The next prime is 13371049. The reversal of 13370976 is 67907331.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13370976.

It is a congruent number.

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, 3531 + ... + 6261.

It is an arithmetic number, because the mean of its divisors is an integer number (559377).

Almost surely, 213370976 is an apocalyptic number.

13370976 is a gapful number since it is divisible by the number (16) 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 13370976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20137572).

13370976 is an abundant number, since it is smaller than the sum of its proper divisors (26904168).

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

13370976 is a wasteful number, since it uses less digits than its factorization.

13370976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 13370976 is about 3656.6345182421. The cubic root of 13370976 is about 237.3491622093.

The spelling of 13370976 in words is "thirteen million, three hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 2731 4896 5462 8193 10924 16386 21848 24579 32772 43696 46427 49158 65544 87392 92854 98316 131088 139281 185708 196632 262176 278562 371416 393264 417843 557124 742832 786528 835686 1114248 1485664 1671372 2228496 3342744 4456992 6685488 13370976