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13067964 = 22327133989
BaseRepresentation
bin110001110110…
…011010111100
3220120220212200
4301312122330
511321133324
61144031500
7216035010
oct61663274
926526780
1013067964
117416178
124462590
132927130
141a42540
151231ec9
hexc766bc

13067964 has 72 divisors (see below), whose sum is σ = 40666080. Its totient is φ = 3445632.

The previous prime is 13067963. The next prime is 13067981. The reversal of 13067964 is 46976031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13067963) 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, 1282 + ... + 5270.

Almost surely, 213067964 is an apocalyptic number.

13067964 is a gapful number since it is divisible by the number (14) 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 13067964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20333040).

13067964 is an abundant number, since it is smaller than the sum of its proper divisors (27598116).

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

13067964 is a wasteful number, since it uses less digits than its factorization.

13067964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4019 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13067964 is about 3614.9639002347. The cubic root of 13067964 is about 235.5425160233.

The spelling of 13067964 in words is "thirteen million, sixty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 3989 7978 11967 15956 23934 27923 35901 47868 51857 55846 71802 83769 103714 111692 143604 155571 167538 207428 251307 311142 335076 362999 466713 502614 622284 725998 933426 1005228 1088997 1451996 1866852 2177994 3266991 4355988 6533982 13067964