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14481840 = 243583727
BaseRepresentation
bin110111001111…
…100110110000
31000020202100110
4313033212300
512201404330
61234221320
7234044052
oct67174660
930222313
1014481840
1181a146a
124a24840
133000849
141ccd8d2
151410db0
hexdcf9b0

14481840 has 80 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 3810048.

The previous prime is 14481833. The next prime is 14481851. The reversal of 14481840 is 4818441.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 14481798 and 14481807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19557 + ... + 20283.

Almost surely, 214481840 is an apocalyptic number.

14481840 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 14481840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

14481840 is an abundant number, since it is smaller than the sum of its proper divisors (31015248).

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

14481840 is a wasteful number, since it uses less digits than its factorization.

14481840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 14481840 is about 3805.5012810404. The cubic root of 14481840 is about 243.7481051792.

The spelling of 14481840 in words is "fourteen million, four hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 727 830 996 1245 1328 1454 1660 1992 2181 2490 2908 3320 3635 3984 4362 4980 5816 6640 7270 8724 9960 10905 11632 14540 17448 19920 21810 29080 34896 43620 58160 60341 87240 120682 174480 181023 241364 301705 362046 482728 603410 724092 905115 965456 1206820 1448184 1810230 2413640 2896368 3620460 4827280 7240920 14481840