Search a number
-
+
140456160 = 25335134161
BaseRepresentation
bin10000101111100…
…11000011100000
3100210021220122000
420113303003200
5241424044120
621534244000
73323600115
oct1027630340
9323256560
10140456160
1172313879
123b056600
1323139b70
141492290c
15c4e6990
hex85f30e0

140456160 has 384 divisors, whose sum is σ = 551214720. Its totient is φ = 33177600.

The previous prime is 140456149. The next prime is 140456177. The reversal of 140456160 is 61654041.

140456160 is a `hidden beast` number, since 1 + 4 + 0 + 45 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2302530 + ... + 2302590.

It is an arithmetic number, because the mean of its divisors is an integer number (1435455).

Almost surely, 2140456160 is an apocalyptic number.

140456160 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 140456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

140456160 is an abundant number, since it is smaller than the sum of its proper divisors (410758560).

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

140456160 is a wasteful number, since it uses less digits than its factorization.

140456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 140456160 is about 11851.4201680642. The cubic root of 140456160 is about 519.8127530951.

The spelling of 140456160 in words is "one hundred forty million, four hundred fifty-six thousand, one hundred sixty".