Search a number
-
+
16932136 = 23131761157
BaseRepresentation
bin100000010010…
…1110100101000
31011212020112011
41000211310220
513313312021
61402525304
7263630554
oct100456450
934766464
1016932136
119615401
125806834
13367ac20
14236a864
151746de1
hex1025d28

16932136 has 64 divisors (see below), whose sum is σ = 37028880. Its totient is φ = 7188480.

The previous prime is 16932133. The next prime is 16932137. The reversal of 16932136 is 63123961.

16932136 = T208 + T209 + ... + T479.

It can be written as a sum of positive squares in 8 ways, for example, as 1768900 + 15163236 = 1330^2 + 3894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16932098 and 16932107.

It is not an unprimeable number, because it can be changed into a prime (16932133) 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, 107770 + ... + 107926.

Almost surely, 216932136 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 16932136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514440).

16932136 is an abundant number, since it is smaller than the sum of its proper divisors (20096744).

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

16932136 is a wasteful number, since it uses less digits than its factorization.

16932136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 16932136 is about 4114.8676770949. The cubic root of 16932136 is about 256.7855508930.

The spelling of 16932136 in words is "sixteen million, nine hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 61 68 104 122 136 157 221 244 314 442 488 628 793 884 1037 1256 1586 1768 2041 2074 2669 3172 4082 4148 5338 6344 8164 8296 9577 10676 13481 16328 19154 21352 26962 34697 38308 53924 69394 76616 107848 124501 138788 162809 249002 277576 325618 498004 651236 996008 1302472 2116517 4233034 8466068 16932136