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214000760 = 23517314707
BaseRepresentation
bin11001100000101…
…10010001111000
3112220200100212002
430300112101320
5414241011020
633122440132
75205655631
oct1460262170
9486610762
10214000760
11aa885a36
125b803048
1335449b8c
14205c8888
1513bc2975
hexcc16478

214000760 has 32 divisors (see below), whose sum is σ = 509826960. Its totient is φ = 80564736.

The previous prime is 214000753. The next prime is 214000789. The reversal of 214000760 is 67000412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 156674 + ... + 158033.

Almost surely, 2214000760 is an apocalyptic number.

214000760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214000760 is an abundant number, since it is smaller than the sum of its proper divisors (295826200).

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

214000760 is a wasteful number, since it uses less digits than its factorization.

214000760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314735 (or 314731 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 214000760 is about 14628.7648145700. The cubic root of 214000760 is about 598.1431110526.

The spelling of 214000760 in words is "two hundred fourteen million, seven hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 314707 629414 1258828 1573535 2517656 3147070 5350019 6294140 10700038 12588280 21400076 26750095 42800152 53500190 107000380 214000760