Search a number
-
+
16932944 = 247314877
BaseRepresentation
bin100000010011…
…0000001010000
31011212021122002
41000212001100
513313323234
61402533132
7263633120
oct100460120
934767562
1016932944
119615a76
1258071a8
13367b3c2
14236ac80
15174727e
hex1026050

16932944 has 40 divisors (see below), whose sum is σ = 38711808. Its totient is φ = 7021440.

The previous prime is 16932931. The next prime is 16932973. The reversal of 16932944 is 44923961.

It is a junction number, because it is equal to n+sod(n) for n = 16932898 and 16932907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1034 + ... + 5910.

Almost surely, 216932944 is an apocalyptic number.

16932944 is a gapful number since it is divisible by the number (14) 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 16932944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355904).

16932944 is an abundant number, since it is smaller than the sum of its proper divisors (21778864).

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

16932944 is a wasteful number, since it uses less digits than its factorization.

16932944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923 (or 4917 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 16932944 is about 4114.9658564805. The cubic root of 16932944 is about 256.7896354224.

The spelling of 16932944 in words is "sixteen million, nine hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 4877 9754 19508 34139 39016 68278 78032 136556 151187 273112 302374 546224 604748 1058309 1209496 2116618 2418992 4233236 8466472 16932944