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162140160 = 2123571329
BaseRepresentation
bin10011010101000…
…01000000000000
3102022002120111010
421222201000000
5313001441120
624031120520
74006111560
oct1152410000
9368076433
10162140160
1183584336
1246373140
132778c930
1417768da0
15e37b7e0
hex9aa1000

162140160 has 416 divisors, whose sum is σ = 660522240. Its totient is φ = 33030144.

The previous prime is 162140159. The next prime is 162140171. The reversal of 162140160 is 61041261.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5591026 + ... + 5591054.

Almost surely, 2162140160 is an apocalyptic number.

162140160 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 162140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330261120).

162140160 is an abundant number, since it is smaller than the sum of its proper divisors (498382080).

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

162140160 is a wasteful number, since it uses less digits than its factorization.

162140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 162140160 is about 12733.4268757472. The cubic root of 162140160 is about 545.2933471132.

The spelling of 162140160 in words is "one hundred sixty-two million, one hundred forty thousand, one hundred sixty".