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158240160 = 253251379107
BaseRepresentation
bin10010110111010…
…00110110100000
3102000202102200200
421123220312200
5311002141120
623411345200
73631006401
oct1133506640
9360672620
10158240160
11813601a1
1244bb2200
1326a25740
14170319a8
15dd5ae90
hex96e8da0

158240160 has 288 divisors, whose sum is σ = 594397440. Its totient is φ = 38098944.

The previous prime is 158240141. The next prime is 158240179. The reversal of 158240160 is 61042851.

It is an interprime number because it is at equal distance from previous prime (158240141) and next prime (158240179).

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 12.

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 47 ways as a sum of consecutive naturals, for example, 1478827 + ... + 1478933.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2158240160 is an apocalyptic number.

158240160 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 158240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

158240160 is an abundant number, since it is smaller than the sum of its proper divisors (436157280).

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

158240160 is a wasteful number, since it uses less digits than its factorization.

158240160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 158240160 is about 12579.3545144415. The cubic root of 158240160 is about 540.8857889999.

The spelling of 158240160 in words is "one hundred fifty-eight million, two hundred forty thousand, one hundred sixty".