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14955920 = 2457171571
BaseRepresentation
bin111001000011…
…010110010000
31001010211122222
4321003112100
512312042140
61252320212
7241060160
oct71032620
931124588
1014955920
118495671
125013068
133138575
141db45a0
1514a65b5
hexe43590

14955920 has 80 divisors (see below), whose sum is σ = 42104448. Its totient is φ = 4823040.

The previous prime is 14955859. The next prime is 14955923. The reversal of 14955920 is 2955941.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (14955923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8735 + ... + 10305.

Almost surely, 214955920 is an apocalyptic number.

14955920 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 14955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21052224).

14955920 is an abundant number, since it is smaller than the sum of its proper divisors (27148528).

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

14955920 is a wasteful number, since it uses less digits than its factorization.

14955920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 14955920 is about 3867.2884557529. The cubic root of 14955920 is about 246.3793912319.

The spelling of 14955920 in words is "fourteen million, nine hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1571 1904 2380 3142 4760 6284 7855 9520 10997 12568 15710 21994 25136 26707 31420 43988 53414 54985 62840 87976 106828 109970 125680 133535 175952 186949 213656 219940 267070 373898 427312 439880 534140 747796 879760 934745 1068280 1495592 1869490 2136560 2991184 3738980 7477960 14955920