Search a number
-
+
16117192 = 237133131
BaseRepresentation
bin111101011110…
…110111001000
31010022211122001
4331132313020
513111222232
61333240344
7253664620
oct75366710
933284561
1016117192
1191090a3
1254930b4
133454000
1421d7880
1516356e7
hexf5edc8

16117192 has 64 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 6327360.

The previous prime is 16117151. The next prime is 16117253. The reversal of 16117192 is 29171161.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 16117192.

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, 122967 + ... + 123097.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 216117192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16117192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

16117192 is an abundant number, since it is smaller than the sum of its proper divisors (21582008).

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

16117192 is a wasteful number, since it uses less digits than its factorization.

16117192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its digits is 756, while the sum is 28.

The square root of 16117192 is about 4014.6222736392. The cubic root of 16117192 is about 252.5979334518.

The spelling of 16117192 in words is "sixteen million, one hundred seventeen thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 131 169 182 262 338 364 524 676 728 917 1048 1183 1352 1703 1834 2197 2366 3406 3668 4394 4732 6812 7336 8788 9464 11921 13624 15379 17576 22139 23842 30758 44278 47684 61516 88556 95368 123032 154973 177112 287807 309946 575614 619892 1151228 1239784 2014649 2302456 4029298 8058596 16117192