Search a number
-
+
15916992 = 263713911
BaseRepresentation
bin111100101101…
…111111000000
31002221200000020
4330231333000
513033320432
61325053440
7252202140
oct74557700
932850006
1015916992
118a91743
1253b7280
1333b3b50
142184920
1515e622c
hexf2dfc0

15916992 has 112 divisors (see below), whose sum is σ = 51889152. Its totient is φ = 4193280.

The previous prime is 15916963. The next prime is 15917017. The reversal of 15916992 is 29961951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17017 + ... + 17927.

It is an arithmetic number, because the mean of its divisors is an integer number (463296).

Almost surely, 215916992 is an apocalyptic number.

15916992 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 15916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944576).

15916992 is an abundant number, since it is smaller than the sum of its proper divisors (35972160).

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

15916992 is a wasteful number, since it uses less digits than its factorization.

15916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its digits is 43740, while the sum is 42.

The square root of 15916992 is about 3989.6105073052. The cubic root of 15916992 is about 251.5476895232.

The spelling of 15916992 in words is "fifteen million, nine hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 911 1092 1248 1344 1456 1822 2184 2496 2733 2912 3644 4368 5466 5824 6377 7288 8736 10932 11843 12754 14576 17472 19131 21864 23686 25508 29152 35529 38262 43728 47372 51016 58304 71058 76524 82901 87456 94744 102032 142116 153048 165802 174912 189488 204064 248703 284232 306096 331604 378976 408128 497406 568464 612192 663208 757952 994812 1136928 1224384 1326416 1989624 2273856 2652832 3979248 5305664 7958496 15916992