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13474368 = 2632149157
BaseRepresentation
bin110011011001…
…101001000000
3221100120100200
4303121221000
511422134433
61200445200
7222346605
oct63315100
927316320
1013474368
117673546
124619800
132a3a0cb
141b0a6ac
1512b2613
hexcd9a40

13474368 has 84 divisors (see below), whose sum is σ = 39128700. Its totient is φ = 4432896.

The previous prime is 13474339. The next prime is 13474369. The reversal of 13474368 is 86347431.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 10810944 = 1632^2 + 3288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13474369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85746 + ... + 85902.

Almost surely, 213474368 is an apocalyptic number.

13474368 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 13474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19564350).

13474368 is an abundant number, since it is smaller than the sum of its proper divisors (25654332).

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

13474368 is a wasteful number, since it uses less digits than its factorization.

13474368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13474368 is about 3670.7448835352. The cubic root of 13474368 is about 237.9593650467.

The spelling of 13474368 in words is "thirteen million, four hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 149 157 192 288 298 314 447 471 576 596 628 894 942 1192 1256 1341 1413 1788 1884 2384 2512 2682 2826 3576 3768 4768 5024 5364 5652 7152 7536 9536 10048 10728 11304 14304 15072 21456 22608 23393 28608 30144 42912 45216 46786 70179 85824 90432 93572 140358 187144 210537 280716 374288 421074 561432 748576 842148 1122864 1497152 1684296 2245728 3368592 4491456 6737184 13474368