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13460480 = 210511239
BaseRepresentation
bin110011010110…
…010000000000
3221022212022022
4303112100000
511421213410
61200301012
7222261245
oct63262000
927285268
1013460480
117664070
124611768
132a339a7
141b055cc
1512ad455
hexcd6400

13460480 has 88 divisors (see below), whose sum is σ = 35372160. Its totient is φ = 4874240.

The previous prime is 13460453. The next prime is 13460483. The reversal of 13460480 is 8406431.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (13460483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56201 + ... + 56439.

Almost surely, 213460480 is an apocalyptic number.

13460480 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 13460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686080).

13460480 is an abundant number, since it is smaller than the sum of its proper divisors (21911680).

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

13460480 is a wasteful number, since it uses less digits than its factorization.

13460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13460480 is about 3668.8526816976. The cubic root of 13460480 is about 237.8775822197.

The spelling of 13460480 in words is "thirteen million, four hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 239 256 320 352 440 478 512 640 704 880 956 1024 1195 1280 1408 1760 1912 2390 2560 2629 2816 3520 3824 4780 5120 5258 5632 7040 7648 9560 10516 11264 13145 14080 15296 19120 21032 26290 28160 30592 38240 42064 52580 56320 61184 76480 84128 105160 122368 152960 168256 210320 244736 305920 336512 420640 611840 673024 841280 1223680 1346048 1682560 2692096 3365120 6730240 13460480