Search a number
-
+
15305251120 = 245296597091
BaseRepresentation
bin11100100000100001…
…11001100100110000
31110111122112022111121
432100100321210300
5222321121013440
611010420352024
71051164326245
oct162020714460
943448468447
1015305251120
116544462775
122b71845614
13159bb65013
14a529a35cc
155e8a0e34a
hex390439930

15305251120 has 40 divisors (see below), whose sum is σ = 36811773360. Its totient is φ = 5910992640.

The previous prime is 15305251111. The next prime is 15305251133. The reversal of 15305251120 is 2115250351.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×153052511202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3296226 + ... + 3300865.

It is an arithmetic number, because the mean of its divisors is an integer number (920294334).

Almost surely, 215305251120 is an apocalyptic number.

15305251120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15305251120 is an abundant number, since it is smaller than the sum of its proper divisors (21506522240).

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

15305251120 is a wasteful number, since it uses less digits than its factorization.

15305251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597133 (or 6597127 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 15305251120 in words is "fifteen billion, three hundred five million, two hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 6597091 13194182 26388364 32985455 52776728 65970910 105553456 131941820 191315639 263883640 382631278 527767280 765262556 956578195 1530525112 1913156390 3061050224 3826312780 7652625560 15305251120