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13788216 = 23321314731
BaseRepresentation
bin110100100110…
…010000111000
3221221111212200
4310212100320
512012210331
61211310200
7225124611
oct64462070
927844780
1013788216
117868322
12474b360
132b19c10
141b8cc08
1513255e6
hexd26438

13788216 has 48 divisors (see below), whose sum is σ = 40218360. Its totient is φ = 4242240.

The previous prime is 13788199. The next prime is 13788221. The reversal of 13788216 is 61288731.

It is a super-2 number, since 2×137882162 = 380229800925312, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6430 + ... + 8301.

Almost surely, 213788216 is an apocalyptic number.

It is an amenable number.

13788216 is an abundant number, since it is smaller than the sum of its proper divisors (26430144).

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

13788216 is a wasteful number, since it uses less digits than its factorization.

13788216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14756 (or 14749 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13788216 is about 3713.2487123811. The cubic root of 13788216 is about 239.7927377280.

The spelling of 13788216 in words is "thirteen million, seven hundred eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 14731 29462 44193 58924 88386 117848 132579 176772 191503 265158 353544 383006 530316 574509 766012 1060632 1149018 1532024 1723527 2298036 3447054 4596072 6894108 13788216