Search a number
-
+
15880992 = 2531737263
BaseRepresentation
bin111100100101…
…001100100000
31002212211121220
4330211030200
513031142432
61324215040
7251662161
oct74451440
932784556
1015880992
118a67696
12539a480
1333a064a
142175768
1515da72c
hexf25320

15880992 has 96 divisors (see below), whose sum is σ = 45505152. Its totient is φ = 4829184.

The previous prime is 15880987. The next prime is 15880993. The reversal of 15880992 is 29908851.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (15880993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60253 + ... + 60515.

It is an arithmetic number, because the mean of its divisors is an integer number (474012).

Almost surely, 215880992 is an apocalyptic number.

15880992 is a gapful number since it is divisible by the number (12) 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 15880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576).

15880992 is an abundant number, since it is smaller than the sum of its proper divisors (29624160).

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

15880992 is a wasteful number, since it uses less digits than its factorization.

15880992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 15880992 is about 3985.0962347226. The cubic root of 15880992 is about 251.3579017245.

The spelling of 15880992 in words is "fifteen million, eight hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 263 272 296 408 444 526 544 592 629 789 816 888 1052 1184 1258 1578 1632 1776 1887 2104 2516 3156 3552 3774 4208 4471 5032 6312 7548 8416 8942 9731 10064 12624 13413 15096 17884 19462 20128 25248 26826 29193 30192 35768 38924 53652 58386 60384 71536 77848 107304 116772 143072 155696 165427 214608 233544 311392 330854 429216 467088 496281 661708 934176 992562 1323416 1985124 2646832 3970248 5293664 7940496 15880992