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13933764 = 223213191567
BaseRepresentation
bin110101001001…
…110011000100
3222012220112100
4311021303010
512031340024
61214352100
7226302135
oct65116304
928186470
1013933764
117957709
1247bb630
132b6b240
141bc9c8c
1513537c9
hexd49cc4

13933764 has 72 divisors (see below), whose sum is σ = 39952640. Its totient is φ = 4059072.

The previous prime is 13933757. The next prime is 13933771. The reversal of 13933764 is 46733931.

It is an interprime number because it is at equal distance from previous prime (13933757) and next prime (13933771).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109 + ... + 9675.

Almost surely, 213933764 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 13933764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976320).

13933764 is an abundant number, since it is smaller than the sum of its proper divisors (26018876).

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

13933764 is a wasteful number, since it uses less digits than its factorization.

13933764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1604 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 13933764 is about 3732.7957351026. The cubic root of 13933764 is about 240.6335345036.

The spelling of 13933764 in words is "thirteen million, nine hundred thirty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 1567 2223 2964 3134 4446 4701 6268 8892 9402 14103 18804 20371 28206 29773 40742 56412 59546 61113 81484 89319 119092 122226 178638 183339 244452 267957 357276 366678 387049 535914 733356 774098 1071828 1161147 1548196 2322294 3483441 4644588 6966882 13933764