Search a number
-
+
16287104 = 271937181
BaseRepresentation
bin111110001000…
…010110000000
31010122110201002
4332020112000
513132141404
61341031132
7255303161
oct76102600
933573632
1016287104
119214819
1255554a8
1334b3452
14223d768
15166ac1e
hexf88580

16287104 has 64 divisors (see below), whose sum is σ = 35271600. Its totient is φ = 7464960.

The previous prime is 16287101. The next prime is 16287109. The reversal of 16287104 is 40178261.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16287101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89894 + ... + 90074.

Almost surely, 216287104 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 16287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635800).

16287104 is an abundant number, since it is smaller than the sum of its proper divisors (18984496).

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

16287104 is a wasteful number, since it uses less digits than its factorization.

16287104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 16287104 is about 4035.7284348677. The cubic root of 16287104 is about 253.4824852678.

The spelling of 16287104 in words is "sixteen million, two hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 181 296 304 362 592 608 703 724 1184 1216 1406 1448 2368 2432 2812 2896 3439 4736 5624 5792 6697 6878 11248 11584 13394 13756 22496 23168 26788 27512 44992 53576 55024 89984 107152 110048 127243 214304 220096 254486 428608 440192 508972 857216 1017944 2035888 4071776 8143552 16287104