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140064960 = 26357191097
BaseRepresentation
bin10000101100100…
…11100011000000
3100202120001000010
420112103203000
5241324034320
621522024520
73320350440
oct1026234300
9322501003
10140064960
1172076972
123aaa8140
1323030a99
1414860120
15c46aae0
hex85938c0

140064960 has 224 divisors, whose sum is σ = 535472640. Its totient is φ = 30302208.

The previous prime is 140064959. The next prime is 140064971. The reversal of 140064960 is 69460041.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127132 + ... + 128228.

Almost surely, 2140064960 is an apocalyptic number.

140064960 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 140064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267736320).

140064960 is an abundant number, since it is smaller than the sum of its proper divisors (395407680).

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

140064960 is a wasteful number, since it uses less digits than its factorization.

140064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 140064960 is about 11834.9043088654. The cubic root of 140064960 is about 519.3297083424.

The spelling of 140064960 in words is "one hundred forty million, sixty-four thousand, nine hundred sixty".