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214100760 = 23351784173
BaseRepresentation
bin11001100001011…
…10101100011000
3112220212110000210
430300232230120
5414302211020
633124531120
75206553316
oct1460565430
9486773023
10214100760
11aa944085
125b850aa0
1335483553
14206130b6
1513be23e0
hexcc2eb18

214100760 has 32 divisors (see below), whose sum is σ = 642302640. Its totient is φ = 57093504.

The previous prime is 214100753. The next prime is 214100819. The reversal of 214100760 is 67001412.

214100760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891967 + ... + 892206.

Almost surely, 2214100760 is an apocalyptic number.

214100760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214100760 is an abundant number, since it is smaller than the sum of its proper divisors (428201880).

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

214100760 is a wasteful number, since it uses less digits than its factorization.

214100760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784187 (or 1784183 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 214100760 is about 14632.1823389404. The cubic root of 214100760 is about 598.2362649222.

The spelling of 214100760 in words is "two hundred fourteen million, one hundred thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1784173 3568346 5352519 7136692 8920865 10705038 14273384 17841730 21410076 26762595 35683460 42820152 53525190 71366920 107050380 214100760