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213716680 = 2355342917
BaseRepresentation
bin11001011110100…
…00111011001000
3112220010221011121
430233100323020
5414202413210
633112405024
75203363462
oct1457207310
9486127147
10213716680
11aa701561
125b6a6774
133537a798
1420553132
1513b686da
hexcbd0ec8

213716680 has 16 divisors (see below), whose sum is σ = 480862620. Its totient is φ = 85486656.

The previous prime is 213716669. The next prime is 213716683. The reversal of 213716680 is 86617312.

213716680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 200335716 + 13380964 = 14154^2 + 3658^2 .

It is not an unprimeable number, because it can be changed into a prime (213716683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2671419 + ... + 2671498.

Almost surely, 2213716680 is an apocalyptic number.

213716680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213716680 is an abundant number, since it is smaller than the sum of its proper divisors (267145940).

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

213716680 is a wasteful number, since it uses less digits than its factorization.

213716680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342928 (or 5342924 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 213716680 is about 14619.0519528456. The cubic root of 213716680 is about 597.8783211227.

The spelling of 213716680 in words is "two hundred thirteen million, seven hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 5342917 10685834 21371668 26714585 42743336 53429170 106858340 213716680