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14335272 = 2333719499
BaseRepresentation
bin110110101011…
…110100101000
3222222022022000
4312223310220
512132212042
61231131000
7232563540
oct66536450
928868260
1014335272
118101336
124973a60
132c7bc13
141c92320
1513d274c
hexdabd28

14335272 has 128 divisors (see below), whose sum is σ = 48000000. Its totient is φ = 3872448.

The previous prime is 14335259. The next prime is 14335303. The reversal of 14335272 is 27253341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28479 + ... + 28977.

It is an arithmetic number, because the mean of its divisors is an integer number (375000).

Almost surely, 214335272 is an apocalyptic number.

14335272 is a gapful number since it is divisible by the number (12) 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 14335272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24000000).

14335272 is an abundant number, since it is smaller than the sum of its proper divisors (33664728).

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

14335272 is a wasteful number, since it uses less digits than its factorization.

14335272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 530 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 14335272 is about 3786.1949236668. The cubic root of 14335272 is about 242.9230056329.

The spelling of 14335272 in words is "fourteen million, three hundred thirty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 499 504 513 532 684 756 798 998 1026 1064 1197 1368 1497 1512 1596 1996 2052 2394 2994 3192 3493 3591 3992 4104 4491 4788 5988 6986 7182 8982 9481 9576 10479 11976 13473 13972 14364 17964 18962 20958 26946 27944 28443 28728 31437 35928 37924 41916 53892 56886 62874 66367 75848 83832 85329 94311 107784 113772 125748 132734 170658 188622 199101 227544 251496 255987 265468 341316 377244 398202 511974 530936 597303 682632 754488 796404 1023948 1194606 1592808 1791909 2047896 2389212 3583818 4778424 7167636 14335272