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213856680 = 23351782139
BaseRepresentation
bin11001011111100…
…11000110101000
3112220102001012210
430233303012220
5414221403210
633115405120
75204515602
oct1457630650
9486361183
10213856680
11aa797764
125b7537a0
13353c941b
142058c172
1513b94e20
hexcbf31a8

213856680 has 32 divisors (see below), whose sum is σ = 641570400. Its totient is φ = 57028416.

The previous prime is 213856679. The next prime is 213856711. The reversal of 213856680 is 86658312.

It is a happy number.

213856680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890950 + ... + 891189.

It is an arithmetic number, because the mean of its divisors is an integer number (20049075).

Almost surely, 2213856680 is an apocalyptic number.

213856680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213856680 is an abundant number, since it is smaller than the sum of its proper divisors (427713720).

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

213856680 is a wasteful number, since it uses less digits than its factorization.

213856680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782153 (or 1782149 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 213856680 is about 14623.8394411317. The cubic root of 213856680 is about 598.0088439164.

The spelling of 213856680 in words is "two hundred thirteen million, eight hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1782139 3564278 5346417 7128556 8910695 10692834 14257112 17821390 21385668 26732085 35642780 42771336 53464170 71285560 106928340 213856680