Search a number
-
+
13740720 = 243578179
BaseRepresentation
bin110100011010…
…101010110000
3221212002201120
4310122222300
512004200340
61210302240
7224536260
oct64325260
927762646
1013740720
117835674
124727980
132b01406
141b797a0
1513164d0
hexd1aab0

13740720 has 80 divisors (see below), whose sum is σ = 48687360. Its totient is φ = 3140352.

The previous prime is 13740703. The next prime is 13740739. The reversal of 13740720 is 2704731.

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

It is a super-2 number, since 2×137407202 = 377614772236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 2410 + ... + 5769.

It is an arithmetic number, because the mean of its divisors is an integer number (608592).

Almost surely, 213740720 is an apocalyptic number.

13740720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13740720 is an abundant number, since it is smaller than the sum of its proper divisors (34946640).

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

13740720 is a wasteful number, since it uses less digits than its factorization.

13740720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13740720 is about 3706.8477174009. The cubic root of 13740720 is about 239.5170845099.

The spelling of 13740720 in words is "thirteen million, seven hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 8179 16358 24537 32716 40895 49074 57253 65432 81790 98148 114506 122685 130864 163580 171759 196296 229012 245370 286265 327160 343518 392592 458024 490740 572530 654320 687036 858795 916048 981480 1145060 1374072 1717590 1962960 2290120 2748144 3435180 4580240 6870360 13740720