Search a number
-
+
15014740 = 22513174379
BaseRepresentation
bin111001010001…
…101101010100
31001020211100111
4321101231110
512320432430
61253452404
7241423516
oct71215524
931224314
1015014740
118525884
125041104
133159280
141dcbbb6
1514b8c2a
hexe51b54

15014740 has 96 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 5031936.

The previous prime is 15014737. The next prime is 15014759. The reversal of 15014740 is 4741051.

15014740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 190021 + ... + 190099.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 215014740 is an apocalyptic number.

15014740 is a gapful number since it is divisible by the number (10) 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 15014740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

15014740 is an abundant number, since it is smaller than the sum of its proper divisors (22240940).

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

15014740 is a wasteful number, since it uses less digits than its factorization.

15014740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 15014740 is about 3874.8858047690. The cubic root of 15014740 is about 246.7019631335.

Adding to 15014740 its reverse (4741051), we get a palindrome (19755791).

It can be divided in two parts, 1501 and 4740, that added together give a square (6241 = 792).

The spelling of 15014740 in words is "fifteen million, fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 43 52 65 68 79 85 86 130 158 170 172 215 221 260 316 340 395 430 442 559 731 790 860 884 1027 1105 1118 1343 1462 1580 2054 2210 2236 2686 2795 2924 3397 3655 4108 4420 5135 5372 5590 6715 6794 7310 9503 10270 11180 13430 13588 14620 16985 17459 19006 20540 26860 33970 34918 38012 44161 47515 57749 67940 69836 87295 88322 95030 115498 174590 176644 190060 220805 230996 288745 349180 441610 577490 750737 883220 1154980 1501474 3002948 3753685 7507370 15014740