Search a number
-
+
16296960 = 210351061
BaseRepresentation
bin111110001010…
…110000000000
31010122222020010
4332022300000
513133000320
61341144520
7255344001
oct76126000
933588203
1016296960
119221169
12555b140
1334b7a94
1422431a8
15166dae0
hexf8ac00

16296960 has 88 divisors (see below), whose sum is σ = 52173936. Its totient is φ = 4341760.

The previous prime is 16296947. The next prime is 16296961. The reversal of 16296960 is 6969261.

It is not an unprimeable number, because it can be changed into a prime (16296961) 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, 14830 + ... + 15890.

Almost surely, 216296960 is an apocalyptic number.

16296960 is a gapful number since it is divisible by the number (10) 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 16296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26086968).

16296960 is an abundant number, since it is smaller than the sum of its proper divisors (35876976).

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

16296960 is a wasteful number, since it uses less digits than its factorization.

16296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 16296960 is about 4036.9493432541. The cubic root of 16296960 is about 253.5336058681.

The spelling of 16296960 in words is "sixteen million, two hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1061 1280 1536 1920 2122 2560 3072 3183 3840 4244 5120 5305 6366 7680 8488 10610 12732 15360 15915 16976 21220 25464 31830 33952 42440 50928 63660 67904 84880 101856 127320 135808 169760 203712 254640 271616 339520 407424 509280 543232 679040 814848 1018560 1086464 1358080 1629696 2037120 2716160 3259392 4074240 5432320 8148480 16296960