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13368720 = 2435531051
BaseRepresentation
bin110010111111…
…110110010000
3221011012102210
4302333312100
511410244340
61154312120
7221426601
oct62776620
927135383
1013368720
117601132
124588640
132a00cb1
141abdda8
151291180
hexcbfd90

13368720 has 80 divisors (see below), whose sum is σ = 42265152. Its totient is φ = 3494400.

The previous prime is 13368713. The next prime is 13368731. The reversal of 13368720 is 2786331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12195 + ... + 13245.

Almost surely, 213368720 is an apocalyptic number.

13368720 is a gapful number since it is divisible by the number (10) 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 13368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21132576).

13368720 is an abundant number, since it is smaller than the sum of its proper divisors (28896432).

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

13368720 is a wasteful number, since it uses less digits than its factorization.

13368720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13368720 is about 3656.3260248506. The cubic root of 13368720 is about 237.3358126521.

The spelling of 13368720 in words is "thirteen million, three hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1051 1060 1272 1590 2102 2120 2544 3153 3180 4204 4240 5255 6306 6360 8408 10510 12612 12720 15765 16816 21020 25224 31530 42040 50448 55703 63060 84080 111406 126120 167109 222812 252240 278515 334218 445624 557030 668436 835545 891248 1114060 1336872 1671090 2228120 2673744 3342180 4456240 6684360 13368720