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13740048 = 2432743317
BaseRepresentation
bin110100011010…
…100000010000
3221212001210200
4310122200100
512004140143
61210255200
7224534310
oct64324020
927761720
1013740048
117835113
124727500
132b0100a
141b79440
1513161d3
hexd1a810

13740048 has 120 divisors (see below), whose sum is σ = 45110208. Its totient is φ = 3822336.

The previous prime is 13740047. The next prime is 13740049. The reversal of 13740048 is 84004731.

It is an interprime number because it is at equal distance from previous prime (13740047) and next prime (13740049).

It is not an unprimeable number, because it can be changed into a prime (13740047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43186 + ... + 43502.

Almost surely, 213740048 is an apocalyptic number.

13740048 is a gapful number since it is divisible by the number (18) 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 13740048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22555104).

13740048 is an abundant number, since it is smaller than the sum of its proper divisors (31370160).

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

13740048 is a wasteful number, since it uses less digits than its factorization.

13740048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13740048 is about 3706.7570732380. The cubic root of 13740048 is about 239.5131798600.

Adding to 13740048 its reverse (84004731), we get a palindrome (97744779).

The spelling of 13740048 in words is "thirteen million, seven hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 317 336 344 387 504 516 602 634 688 774 903 951 1008 1032 1204 1268 1548 1806 1902 2064 2219 2408 2536 2709 2853 3096 3612 3804 4438 4816 5072 5418 5706 6192 6657 7224 7608 8876 10836 11412 13314 13631 14448 15216 17752 19971 21672 22824 26628 27262 35504 39942 40893 43344 45648 53256 54524 79884 81786 95417 106512 109048 122679 159768 163572 190834 218096 245358 286251 319536 327144 381668 490716 572502 654288 763336 858753 981432 1145004 1526672 1717506 1962864 2290008 3435012 4580016 6870024 13740048