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159385680 = 243251961191
BaseRepresentation
bin10011000000000…
…00100001010000
3102002220122001100
421200000201100
5311300320210
623452104400
73643520166
oct1140004120
9362818040
10159385680
1181a72903
1245465100
1327036c6c
141724d236
15ded55c0
hex9800850

159385680 has 240 divisors, whose sum is σ = 575677440. Its totient is φ = 39398400.

The previous prime is 159385673. The next prime is 159385757. The reversal of 159385680 is 86583951.

159385680 is a `hidden beast` number, since 1 + 59 + 38 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834385 + ... + 834575.

It is an arithmetic number, because the mean of its divisors is an integer number (2398656).

Almost surely, 2159385680 is an apocalyptic number.

159385680 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 159385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287838720).

159385680 is an abundant number, since it is smaller than the sum of its proper divisors (416291760).

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

159385680 is a wasteful number, since it uses less digits than its factorization.

159385680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 159385680 is about 12624.8041568969. The cubic root of 159385680 is about 542.1878317593.

The spelling of 159385680 in words is "one hundred fifty-nine million, three hundred eighty-five thousand, six hundred eighty".