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16201680 = 24351117192
BaseRepresentation
bin111101110011…
…011111010000
31010111010112020
4331303133100
513121423210
61335131440
7254466135
oct75633720
933433466
1016201680
119166620
125513b80
1334835c1
14221a58c
151650770
hexf737d0

16201680 has 240 divisors, whose sum is σ = 61228224. Its totient is φ = 3502080.

The previous prime is 16201673. The next prime is 16201681. The reversal of 16201680 is 8610261.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16201680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16201681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852711 + ... + 852729.

Almost surely, 216201680 is an apocalyptic number.

16201680 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 16201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30614112).

16201680 is an abundant number, since it is smaller than the sum of its proper divisors (45026544).

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

16201680 is a wasteful number, since it uses less digits than its factorization.

16201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 16201680 is about 4025.1310537671. The cubic root of 16201680 is about 253.0385459973.

The spelling of 16201680 in words is "sixteen million, two hundred one thousand, six hundred eighty".