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13694976 = 21132743
BaseRepresentation
bin110100001111…
…100000000000
3221202202222100
4310033200000
512001214401
61205310400
7224256021
oct64174000
927682870
1013694976
117804269
124705400
132ab6649
141b66c48
151307b86
hexd0f800

13694976 has 72 divisors (see below), whose sum is σ = 39606840. Its totient is φ = 4558848.

The previous prime is 13694971. The next prime is 13694999. The reversal of 13694976 is 67949631.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13694971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18061 + ... + 18803.

It is an arithmetic number, because the mean of its divisors is an integer number (550095).

Almost surely, 213694976 is an apocalyptic number.

13694976 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 13694976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420).

13694976 is an abundant number, since it is smaller than the sum of its proper divisors (25911864).

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

13694976 is an equidigital number, since it uses as much as digits as its factorization.

13694976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 748 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 13694976 is about 3700.6723713401. The cubic root of 13694976 is about 239.2509982499.

The spelling of 13694976 in words is "thirteen million, six hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 743 768 1024 1152 1486 1536 2048 2229 2304 2972 3072 4458 4608 5944 6144 6687 8916 9216 11888 13374 17832 18432 23776 26748 35664 47552 53496 71328 95104 106992 142656 190208 213984 285312 380416 427968 570624 760832 855936 1141248 1521664 1711872 2282496 3423744 4564992 6847488 13694976