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68157180 = 223357131973
BaseRepresentation
bin1000000111111…
…11111011111100
311202020202002000
410003333323330
5114422012210
610432502300
71455216660
oct403777374
9152222060
1068157180
1135522553
121a9aa990
1311174ac0
1490a28a0
155eb4ac0
hex40ffefc

68157180 has 384 divisors, whose sum is σ = 278476800. Its totient is φ = 13436928.

The previous prime is 68157149. The next prime is 68157223. The reversal of 68157180 is 8175186.

68157180 = 123 + 133 + ... + 1283.

68157180 is a `hidden beast` number, since 6 + 8 + 1 + 571 + 80 = 666.

68157180 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 933624 + ... + 933696.

It is an arithmetic number, because the mean of its divisors is an integer number (725200).

Almost surely, 268157180 is an apocalyptic number.

68157180 is a gapful number since it is divisible by the number (60) 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 68157180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139238400).

68157180 is an abundant number, since it is smaller than the sum of its proper divisors (210319620).

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

68157180 is a wasteful number, since it uses less digits than its factorization.

68157180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 68157180 is about 8255.7361876455. The cubic root of 68157180 is about 408.4797557168.

The spelling of 68157180 in words is "sixty-eight million, one hundred fifty-seven thousand, one hundred eighty".