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14424960 = 273511683
BaseRepresentation
bin110111000001…
…101110000000
31000010212022210
4313001232000
512143044320
61233102120
7233416164
oct67015600
930125283
1014424960
118162760
1249b7940
132cb09a4
141cb6ca4
1513ee0e0
hexdc1b80

14424960 has 128 divisors (see below), whose sum is σ = 50232960. Its totient is φ = 3491840.

The previous prime is 14424947. The next prime is 14424961. The reversal of 14424960 is 6942441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424961) 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, 20779 + ... + 21461.

It is an arithmetic number, because the mean of its divisors is an integer number (392445).

Almost surely, 214424960 is an apocalyptic number.

14424960 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 14424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116480).

14424960 is an abundant number, since it is smaller than the sum of its proper divisors (35808000).

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

14424960 is a wasteful number, since it uses less digits than its factorization.

14424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 14424960 is about 3798.0205370693. The cubic root of 14424960 is about 243.4285651310.

The spelling of 14424960 in words is "fourteen million, four hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 683 704 880 960 1056 1320 1366 1408 1760 1920 2049 2112 2640 2732 3415 3520 4098 4224 5280 5464 6830 7040 7513 8196 10245 10560 10928 13660 15026 16392 20490 21120 21856 22539 27320 30052 32784 37565 40980 43712 45078 54640 60104 65568 75130 81960 87424 90156 109280 112695 120208 131136 150260 163920 180312 218560 225390 240416 262272 300520 327840 360624 437120 450780 480832 601040 655680 721248 901560 961664 1202080 1311360 1442496 1803120 2404160 2884992 3606240 4808320 7212480 14424960