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13986816 = 210329157
BaseRepresentation
bin110101010110…
…110000000000
3222022121022020
4311112300000
512040034231
61215441440
7226612614
oct65266000
928277266
1013986816
117993558
124826280
132b8942c
141c01344
151364396
hexd56c00

13986816 has 88 divisors (see below), whose sum is σ = 38811120. Its totient is φ = 4472832.

The previous prime is 13986809. The next prime is 13986823. The reversal of 13986816 is 61868931.

It is an interprime number because it is at equal distance from previous prime (13986809) and next prime (13986823).

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, 89010 + ... + 89166.

Almost surely, 213986816 is an apocalyptic number.

13986816 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 13986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405560).

13986816 is an abundant number, since it is smaller than the sum of its proper divisors (24824304).

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

13986816 is a wasteful number, since it uses less digits than its factorization.

13986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 13986816 is about 3739.8951856971. The cubic root of 13986816 is about 240.9385471431.

The spelling of 13986816 in words is "thirteen million, nine hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 157 174 192 232 256 314 348 384 464 471 512 628 696 768 928 942 1024 1256 1392 1536 1856 1884 2512 2784 3072 3712 3768 4553 5024 5568 7424 7536 9106 10048 11136 13659 14848 15072 18212 20096 22272 27318 29696 30144 36424 40192 44544 54636 60288 72848 80384 89088 109272 120576 145696 160768 218544 241152 291392 437088 482304 582784 874176 1165568 1748352 2331136 3496704 4662272 6993408 13986816