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14943984 = 2431123183
BaseRepresentation
bin111001000000…
…011011110000
31001010020021220
4321000123300
512311201414
61252145040
7241010316
oct71003360
931106256
1014943984
118487700
125008180
133132cc3
141db00b6
1514a2ca9
hexe406f0

14943984 has 120 divisors (see below), whose sum is σ = 44330496. Its totient is φ = 4329600.

The previous prime is 14943983. The next prime is 14943989. The reversal of 14943984 is 48934941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14943983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180007 + ... + 180089.

Almost surely, 214943984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14943984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165248).

14943984 is an abundant number, since it is smaller than the sum of its proper divisors (29386512).

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

14943984 is a wasteful number, since it uses less digits than its factorization.

14943984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 14943984 is about 3865.7449476136. The cubic root of 14943984 is about 246.3138304130.

The spelling of 14943984 in words is "fourteen million, nine hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 83 88 93 121 124 132 166 176 186 242 248 249 264 332 341 363 372 484 496 498 528 664 682 726 744 913 968 996 1023 1328 1364 1452 1488 1826 1936 1992 2046 2573 2728 2739 2904 3652 3751 3984 4092 5146 5456 5478 5808 7304 7502 7719 8184 10043 10292 10956 11253 14608 15004 15438 16368 20086 20584 21912 22506 28303 30008 30129 30876 40172 41168 43824 45012 56606 60016 60258 61752 80344 84909 90024 113212 120516 123504 160688 169818 180048 226424 241032 311333 339636 452848 482064 622666 679272 933999 1245332 1358544 1867998 2490664 3735996 4981328 7471992 14943984