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14149590 = 2357137173
BaseRepresentation
bin110101111110…
…011111010110
3222121212120220
4311332133112
512110241330
61223135210
7231161310
oct65763726
928555526
1014149590
117a94884
1248a4506
132c15550
141c447b0
151397710
hexd7e7d6

14149590 has 128 divisors (see below), whose sum is σ = 42964992. Its totient is φ = 2903040.

The previous prime is 14149589. The next prime is 14149631. The reversal of 14149590 is 9594141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193794 + ... + 193866.

It is an arithmetic number, because the mean of its divisors is an integer number (335664).

Almost surely, 214149590 is an apocalyptic number.

14149590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14149590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21482496).

14149590 is an abundant number, since it is smaller than the sum of its proper divisors (28815402).

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

14149590 is a wasteful number, since it uses less digits than its factorization.

14149590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 14149590 is about 3761.5940769839. The cubic root of 14149590 is about 241.8695993960.

The spelling of 14149590 in words is "fourteen million, one hundred forty-nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 71 73 78 91 105 130 142 146 182 195 210 213 219 273 355 365 390 426 438 455 497 511 546 710 730 910 923 949 994 1022 1065 1095 1365 1491 1533 1846 1898 2130 2190 2485 2555 2730 2769 2847 2982 3066 4615 4745 4970 5110 5183 5538 5694 6461 6643 7455 7665 9230 9490 10366 12922 13286 13845 14235 14910 15330 15549 19383 19929 25915 27690 28470 31098 32305 33215 36281 38766 39858 51830 64610 66430 67379 72562 77745 96915 99645 108843 134758 155490 181405 193830 199290 202137 217686 336895 362810 404274 471653 544215 673790 943306 1010685 1088430 1414959 2021370 2358265 2829918 4716530 7074795 14149590