Search a number
-
+
15930642 = 23713163179
BaseRepresentation
bin111100110001…
…010100010010
31002222100201210
4330301110102
513034240032
61325240550
7252260010
oct74612422
932870653
1015930642
118aa0a22
125403156
1333ba120
1421898b0
1515ea2cc
hexf31512

15930642 has 64 divisors (see below), whose sum is σ = 39674880. Its totient is φ = 4152384.

The previous prime is 15930641. The next prime is 15930647. The reversal of 15930642 is 24603951.

It is not an unprimeable number, because it can be changed into a prime (15930641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88909 + ... + 89087.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 215930642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15930642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

15930642 is an abundant number, since it is smaller than the sum of its proper divisors (23744238).

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

15930642 is a wasteful number, since it uses less digits than its factorization.

15930642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 15930642 is about 3991.3208340097. The cubic root of 15930642 is about 251.6195759052.

The spelling of 15930642 in words is "fifteen million, nine hundred thirty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 163 179 182 273 326 358 489 537 546 978 1074 1141 1253 2119 2282 2327 2506 3423 3759 4238 4654 6357 6846 6981 7518 12714 13962 14833 16289 29177 29666 32578 44499 48867 58354 87531 88998 97734 175062 204239 379301 408478 612717 758602 1137903 1225434 2275806 2655107 5310214 7965321 15930642