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13708320 = 253528559
BaseRepresentation
bin110100010010…
…110000100000
3221210110021120
4310102300200
512002131240
61205452240
7224342643
oct64226040
927713246
1013708320
11781329a
124711080
132abc742
141b6ba5a
15130bad0
hexd12c20

13708320 has 48 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 3655424.

The previous prime is 13708301. The next prime is 13708339. The reversal of 13708320 is 2380731.

It is an interprime number because it is at equal distance from previous prime (13708301) and next prime (13708339).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13800 + ... + 14759.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 213708320 is an apocalyptic number.

13708320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13708320 is an abundant number, since it is smaller than the sum of its proper divisors (29474400).

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

13708320 is a wasteful number, since it uses less digits than its factorization.

13708320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28577 (or 28569 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13708320 is about 3702.4748479902. The cubic root of 13708320 is about 239.3286795097.

It can be divided in two parts, 13708 and 320, that added together give a triangular number (14028 = T167).

The spelling of 13708320 in words is "thirteen million, seven hundred eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 28559 57118 85677 114236 142795 171354 228472 285590 342708 428385 456944 571180 685416 856770 913888 1142360 1370832 1713540 2284720 2741664 3427080 4569440 6854160 13708320