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13700016 = 243411312
BaseRepresentation
bin110100010000…
…101110110000
3221210000220000
4310100232300
512001400031
61205350000
7224306511
oct64205660
927700800
1013700016
117808030
124708300
132ab8a25
141b68a08
1513093e6
hexd10bb0

13700016 has 150 divisors (see below), whose sum is σ = 44696916. Its totient is φ = 4017600.

The previous prime is 13700009. The next prime is 13700017. The reversal of 13700016 is 61000731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13700017) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 441921 + ... + 441951.

Almost surely, 213700016 is an apocalyptic number.

13700016 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 13700016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348458).

13700016 is an abundant number, since it is smaller than the sum of its proper divisors (30996900).

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

13700016 is a wasteful number, since it uses less digits than its factorization.

13700016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13700016 is about 3701.3532660366. The cubic root of 13700016 is about 239.2803442217.

Adding to 13700016 its reverse (61000731), we get a palindrome (74700747).

The spelling of 13700016 in words is "thirteen million, seven hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 81 88 93 99 108 124 132 144 162 176 186 198 216 248 264 279 297 324 341 372 396 432 496 528 558 594 648 682 744 792 837 891 961 1023 1116 1188 1296 1364 1488 1584 1674 1782 1922 2046 2232 2376 2511 2728 2883 3069 3348 3564 3844 4092 4464 4752 5022 5456 5766 6138 6696 7128 7688 8184 8649 9207 10044 10571 11532 12276 13392 14256 15376 16368 17298 18414 20088 21142 23064 24552 25947 27621 31713 34596 36828 40176 42284 46128 49104 51894 55242 63426 69192 73656 77841 84568 95139 103788 110484 126852 138384 147312 155682 169136 190278 207576 220968 253704 285417 311364 380556 415152 441936 507408 570834 622728 761112 856251 1141668 1245456 1522224 1712502 2283336 3425004 4566672 6850008 13700016