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13860480 = 27357219
BaseRepresentation
bin110100110111…
…111010000000
3222002012000010
4310313322000
512022013410
61213024520
7225545364
oct64677200
928065003
1013860480
117907647
124785140
132b43a8a
141bab2a4
15133bc20
hexd37e80

13860480 has 64 divisors (see below), whose sum is σ = 44186400. Its totient is φ = 3695616.

The previous prime is 13860449. The next prime is 13860493. The reversal of 13860480 is 8406831.

It is a happy number.

13860480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×138604802 = 384225811660800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1690 + ... + 5529.

Almost surely, 213860480 is an apocalyptic number.

13860480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13860480 is an abundant number, since it is smaller than the sum of its proper divisors (30325920).

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

13860480 is an equidigital number, since it uses as much as digits as its factorization.

13860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13860480 is about 3722.9665590762. The cubic root of 13860480 is about 240.2109256833.

The spelling of 13860480 in words is "thirteen million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 7219 14438 21657 28876 36095 43314 57752 72190 86628 108285 115504 144380 173256 216570 231008 288760 346512 433140 462016 577520 693024 866280 924032 1155040 1386048 1732560 2310080 2772096 3465120 4620160 6930240 13860480