Search a number
-
+
16405056 = 2632191499
BaseRepresentation
bin111110100101…
…001001000000
31010212110111200
4332211021000
513144430211
61343341200
7256304103
oct76451100
933773450
1016405056
1192953a8
1255b1800
133525045
14227073a
151690b56
hexfa5240

16405056 has 84 divisors (see below), whose sum is σ = 49530000. Its totient is φ = 5177088.

The previous prime is 16405027. The next prime is 16405057. The reversal of 16405056 is 65050461.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16405057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10195 + ... + 11693.

Almost surely, 216405056 is an apocalyptic number.

16405056 is a gapful number since it is divisible by the number (16) 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 16405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24765000).

16405056 is an abundant number, since it is smaller than the sum of its proper divisors (33124944).

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

16405056 is a wasteful number, since it uses less digits than its factorization.

16405056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 16405056 is about 4050.3155432633. The cubic root of 16405056 is about 254.0929248523.

The spelling of 16405056 in words is "sixteen million, four hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1499 1824 2736 2998 3648 4497 5472 5996 8994 10944 11992 13491 17988 23984 26982 28481 35976 47968 53964 56962 71952 85443 95936 107928 113924 143904 170886 215856 227848 256329 287808 341772 431712 455696 512658 683544 863424 911392 1025316 1367088 1822784 2050632 2734176 4101264 5468352 8202528 16405056