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16319680 = 265133923
BaseRepresentation
bin111110010000…
…010011000000
31010201010101121
4332100103000
513134212210
61341442024
7255500146
oct76202300
933633347
1016319680
119237243
125570314
1334c5220
14224b596
1516756da
hexf904c0

16319680 has 56 divisors (see below), whose sum is σ = 41861232. Its totient is φ = 6024192.

The previous prime is 16319657. The next prime is 16319687. The reversal of 16319680 is 8691361.

It is not an unprimeable number, because it can be changed into a prime (16319687) 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, 2199 + ... + 6121.

It is an arithmetic number, because the mean of its divisors is an integer number (747522).

Almost surely, 216319680 is an apocalyptic number.

16319680 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 16319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930616).

16319680 is an abundant number, since it is smaller than the sum of its proper divisors (25541552).

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

16319680 is a wasteful number, since it uses less digits than its factorization.

16319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 16319680 is about 4039.7623692490. The cubic root of 16319680 is about 253.6513703416.

It can be divided in two parts, 1631 and 9680, that added together give a palindrome (11311).

The spelling of 16319680 in words is "sixteen million, three hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 3923 4160 7846 15692 19615 31384 39230 50999 62768 78460 101998 125536 156920 203996 251072 254995 313840 407992 509990 627680 815984 1019980 1255360 1631968 2039960 3263936 4079920 8159840 16319680