Search a number
-
+
15299120 = 245312199
BaseRepresentation
bin111010010111…
…001000110000
31001210021110002
4322113020300
512404032440
61303525132
7244016564
oct72271060
931707402
1015299120
1186aa501
1251597a8
133228845
1420636a4
151523115
hexe97230

15299120 has 60 divisors (see below), whose sum is σ = 36939600. Its totient is φ = 5892480.

The previous prime is 15299101. The next prime is 15299143. The reversal of 15299120 is 2199251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76781 + ... + 76979.

It is an arithmetic number, because the mean of its divisors is an integer number (615660).

Almost surely, 215299120 is an apocalyptic number.

15299120 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 15299120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469800).

15299120 is an abundant number, since it is smaller than the sum of its proper divisors (21640480).

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

15299120 is a wasteful number, since it uses less digits than its factorization.

15299120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 15299120 is about 3911.4089533057. The cubic root of 15299120 is about 248.2497484064.

The spelling of 15299120 in words is "fifteen million, two hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 199 248 310 398 496 620 796 961 995 1240 1592 1922 1990 2480 3184 3844 3980 4805 6169 7688 7960 9610 12338 15376 15920 19220 24676 30845 38440 49352 61690 76880 98704 123380 191239 246760 382478 493520 764956 956195 1529912 1912390 3059824 3824780 7649560 15299120