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14855040 = 273252579
BaseRepresentation
bin111000101010…
…101110000000
31000221201021200
4320222232000
512300330130
61250221200
7240160104
oct70525600
930851250
1014855040
1184268a2
124b84800
133101685
141d89904
151486760
hexe2ab80

14855040 has 96 divisors (see below), whose sum is σ = 51316200. Its totient is φ = 3959808.

The previous prime is 14855023. The next prime is 14855051. The reversal of 14855040 is 4055841.

14855040 = T400 + T401 + ... + T534.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14854995 and 14855013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4471 + ... + 7049.

Almost surely, 214855040 is an apocalyptic number.

14855040 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 14855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25658100).

14855040 is an abundant number, since it is smaller than the sum of its proper divisors (36461160).

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

14855040 is a wasteful number, since it uses less digits than its factorization.

14855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 14855040 is about 3854.2236572363. The cubic root of 14855040 is about 245.8241853023.

The spelling of 14855040 in words is "fourteen million, eight hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2579 2880 5158 5760 7737 10316 12895 15474 20632 23211 25790 30948 38685 41264 46422 51580 61896 77370 82528 92844 103160 116055 123792 154740 165056 185688 206320 232110 247584 309480 330112 371376 412640 464220 495168 618960 742752 825280 928440 990336 1237920 1485504 1650560 1856880 2475840 2971008 3713760 4951680 7427520 14855040