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14240856 = 2337293779
BaseRepresentation
bin110110010100…
…110001011000
3222210111210010
4312110301120
512121201411
61225121520
7232021350
oct66246130
928714703
1014240856
118047403
1249292a0
132c47c56
141c69b60
1513b47a6
hexd94c58

14240856 has 128 divisors (see below), whose sum is σ = 43776000. Its totient is φ = 3773952.

The previous prime is 14240851. The next prime is 14240857. The reversal of 14240856 is 65804241.

It is a super-2 number, since 2×142408562 = 405603959225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240851) by changing a digit.

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, 180225 + ... + 180303.

It is an arithmetic number, because the mean of its divisors is an integer number (342000).

Almost surely, 214240856 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 14240856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888000).

14240856 is an abundant number, since it is smaller than the sum of its proper divisors (29535144).

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

14240856 is a wasteful number, since it uses less digits than its factorization.

14240856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 14240856 is about 3773.7058708914. The cubic root of 14240856 is about 242.3885114750.

The spelling of 14240856 in words is "fourteen million, two hundred forty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 37 42 56 58 74 79 84 87 111 116 148 158 168 174 203 222 232 237 259 296 316 348 406 444 474 518 553 609 632 696 777 812 888 948 1036 1073 1106 1218 1554 1624 1659 1896 2072 2146 2212 2291 2436 2923 3108 3219 3318 4292 4424 4582 4872 5846 6216 6438 6636 6873 7511 8584 8769 9164 11692 12876 13272 13746 15022 16037 17538 18328 20461 22533 23384 25752 27492 30044 32074 35076 40922 45066 48111 54984 60088 61383 64148 70152 81844 84767 90132 96222 122766 128296 163688 169534 180264 192444 245532 254301 339068 384888 491064 508602 593369 678136 1017204 1186738 1780107 2034408 2373476 3560214 4746952 7120428 14240856