Search a number
-
+
14919960 = 23351189127
BaseRepresentation
bin111000111010…
…100100011000
31001002000100010
4320322210120
512304414320
61251441520
7240550266
oct70724430
931060303
1014919960
118470650
124bb62a0
1331250a3
141da5436
15149aae0
hexe3a918

14919960 has 128 divisors (see below), whose sum is σ = 49766400. Its totient is φ = 3548160.

The previous prime is 14919953. The next prime is 14920013. The reversal of 14919960 is 6991941.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117417 + ... + 117543.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 214919960 is an apocalyptic number.

14919960 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 14919960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883200).

14919960 is an abundant number, since it is smaller than the sum of its proper divisors (34846440).

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

14919960 is a wasteful number, since it uses less digits than its factorization.

14919960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 14919960 is about 3862.6364053584. The cubic root of 14919960 is about 246.1817679665.

The spelling of 14919960 in words is "fourteen million, nine hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 127 132 165 178 220 254 264 267 330 356 381 440 445 508 534 635 660 712 762 890 979 1016 1068 1270 1320 1335 1397 1524 1780 1905 1958 2136 2540 2670 2794 2937 3048 3560 3810 3916 4191 4895 5080 5340 5588 5874 6985 7620 7832 8382 9790 10680 11176 11303 11748 13970 14685 15240 16764 19580 20955 22606 23496 27940 29370 33528 33909 39160 41910 45212 55880 56515 58740 67818 83820 90424 113030 117480 124333 135636 167640 169545 226060 248666 271272 339090 372999 452120 497332 621665 678180 745998 994664 1243330 1356360 1491996 1864995 2486660 2983992 3729990 4973320 7459980 14919960