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13496976 = 2433157199
BaseRepresentation
bin110011011111…
…001010010000
3221101201101000
4303133022100
511423400401
61201142000
7222502533
oct63371220
927351330
1013496976
117689529
12462a900
132a4749c
141b14a1a
1512b9186
hexcdf290

13496976 has 80 divisors (see below), whose sum is σ = 39184000. Its totient is φ = 4447872.

The previous prime is 13496953. The next prime is 13497007. The reversal of 13496976 is 67969431.

13496976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134969762 = 364336722289152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67725 + ... + 67923.

It is an arithmetic number, because the mean of its divisors is an integer number (489800).

Almost surely, 213496976 is an apocalyptic number.

13496976 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 13496976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592000).

13496976 is an abundant number, since it is smaller than the sum of its proper divisors (25687024).

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

13496976 is a wasteful number, since it uses less digits than its factorization.

13496976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

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

The square root of 13496976 is about 3673.8230768506. The cubic root of 13496976 is about 238.0923775758.

The spelling of 13496976 in words is "thirteen million, four hundred ninety-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 199 216 314 398 432 471 597 628 796 942 1194 1256 1413 1592 1791 1884 2388 2512 2826 3184 3582 3768 4239 4776 5373 5652 7164 7536 8478 9552 10746 11304 14328 16956 21492 22608 28656 31243 33912 42984 62486 67824 85968 93729 124972 187458 249944 281187 374916 499888 562374 749832 843561 1124748 1499664 1687122 2249496 3374244 4498992 6748488 13496976