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13977152 = 26724457
BaseRepresentation
bin110101010100…
…011001000000
3222022010001022
4311110121000
512034232102
61215325012
7226542500
oct65243100
928263038
1013977152
117987272
124820768
132b84c07
141bdba00
1513615a2
hexd54640

13977152 has 42 divisors (see below), whose sum is σ = 32271462. Its totient is φ = 5988864.

The previous prime is 13977149. The next prime is 13977167. The reversal of 13977152 is 25177931.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12845056 + 1132096 = 3584^2 + 1064^2 .

It is a super-2 number, since 2×139771522 = 390721556062208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 908 + ... + 5364.

Almost surely, 213977152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135731).

13977152 is an abundant number, since it is smaller than the sum of its proper divisors (18294310).

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

13977152 is an equidigital number, since it uses as much as digits as its factorization.

13977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4466 counting only the distinct ones).

The product of its digits is 13230, while the sum is 35.

The square root of 13977152 is about 3738.6029476263. The cubic root of 13977152 is about 240.8830432888.

It can be divided in two parts, 1397715 and 2, that multiplied together give a triangular number (2795430 = T2364).

The spelling of 13977152 in words is "thirteen million, nine hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4457 8914 17828 31199 35656 62398 71312 124796 142624 218393 249592 285248 436786 499184 873572 998368 1747144 1996736 3494288 6988576 13977152