Search a number
-
+
14934360 = 2335723773
BaseRepresentation
bin111000111110…
…000101011000
31001002202002110
4320332011120
512310344420
61252032320
7240640260
oct70760530
931082073
1014934360
118480451
1250026a0
13312b7cc
141daa7a0
15149eee0
hexe3e158

14934360 has 128 divisors (see below), whose sum is σ = 53498880. Its totient is φ = 3260928.

The previous prime is 14934329. The next prime is 14934377. The reversal of 14934360 is 6343941.

14934360 is digitally balanced in base 2 and base 4, because in such bases 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 (30).

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, 18934 + ... + 19706.

It is an arithmetic number, because the mean of its divisors is an integer number (417960).

Almost surely, 214934360 is an apocalyptic number.

14934360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3864×3865.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14934360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26749440).

14934360 is an abundant number, since it is smaller than the sum of its proper divisors (38564520).

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

14934360 is a wasteful number, since it uses less digits than its factorization.

14934360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 14934360 is about 3864.4999676543. The cubic root of 14934360 is about 246.2609432810.

The spelling of 14934360 in words is "fourteen million, nine hundred thirty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 773 805 840 920 966 1288 1380 1546 1610 1932 2319 2415 2760 3092 3220 3864 3865 4638 4830 5411 6184 6440 7730 9276 9660 10822 11595 15460 16233 17779 18552 19320 21644 23190 27055 30920 32466 35558 43288 46380 53337 54110 64932 71116 81165 88895 92760 106674 108220 124453 129864 142232 162330 177790 213348 216440 248906 266685 324660 355580 373359 426696 497812 533370 622265 649320 711160 746718 995624 1066740 1244530 1493436 1866795 2133480 2489060 2986872 3733590 4978120 7467180 14934360