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14930352 = 24331719107
BaseRepresentation
bin111000111101…
…000110110000
31001002112121000
4320331012300
512310232402
61252002000
7240622503
oct70750660
931075530
1014930352
118478438
125000300
133129a38
141da913a
15149dc1c
hexe3d1b0

14930352 has 160 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 4396032.

The previous prime is 14930341. The next prime is 14930387. The reversal of 14930352 is 25303941.

It is the 35-th Fibonacci number F35.

14930352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139483 + ... + 139589.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 214930352 is an apocalyptic number.

14930352 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 14930352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

14930352 is an abundant number, since it is smaller than the sum of its proper divisors (33280848).

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

14930352 is a wasteful number, since it uses less digits than its factorization.

14930352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 14930352 is about 3863.9813664147. The cubic root of 14930352 is about 246.2389112651.

The spelling of 14930352 in words is "fourteen million, nine hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 48 51 54 57 68 72 76 102 107 108 114 136 144 152 153 171 204 214 216 228 272 304 306 321 323 342 408 428 432 456 459 513 612 642 646 684 816 856 912 918 963 969 1026 1224 1284 1292 1368 1712 1819 1836 1926 1938 2033 2052 2448 2568 2584 2736 2889 2907 3638 3672 3852 3876 4066 4104 5136 5168 5457 5778 5814 6099 7276 7344 7704 7752 8132 8208 8721 10914 11556 11628 12198 14552 15408 15504 16264 16371 17442 18297 21828 23112 23256 24396 29104 32528 32742 34561 34884 36594 43656 46224 46512 48792 49113 54891 65484 69122 69768 73188 87312 97584 98226 103683 109782 130968 138244 139536 146376 196452 207366 219564 261936 276488 292752 311049 392904 414732 439128 552976 622098 785808 829464 878256 933147 1244196 1658928 1866294 2488392 3732588 4976784 7465176 14930352