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141678720 = 27355911
BaseRepresentation
bin10000111000111…
…01100010000000
3100212121000200000
420130131202000
5242232204340
622020400000
73340151331
oct1034354200
9325530600
10141678720
1172a79357
123b546000
1323477481
1414b60288
15c688d30
hex871d880

141678720 has 192 divisors, whose sum is σ = 507911040. Its totient is φ = 37739520.

The previous prime is 141678673. The next prime is 141678743. The reversal of 141678720 is 27876141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155065 + ... + 155975.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2141678720 is an apocalyptic number.

141678720 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 141678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

141678720 is an abundant number, since it is smaller than the sum of its proper divisors (366232320).

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

141678720 is an frugal number, since it uses more digits than its factorization.

141678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 141678720 is about 11902.8870447467. The cubic root of 141678720 is about 521.3165848381.

The spelling of 141678720 in words is "one hundred forty-one million, six hundred seventy-eight thousand, seven hundred twenty".