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140712480 = 253251937139
BaseRepresentation
bin10000110001100…
…01101000100000
3100210202221020100
420120301220200
5242010244410
621543542400
73326015316
oct1030615040
9323687210
10140712480
1172479407
123b15aa00
13231c972c
141498c0b6
15c5478c0
hex8631a20

140712480 has 288 divisors, whose sum is σ = 522849600. Its totient is φ = 34338816.

The previous prime is 140712479. The next prime is 140712487. The reversal of 140712480 is 84217041.

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

It is not an unprimeable number, because it can be changed into a prime (140712487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012251 + ... + 1012389.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2140712480 is an apocalyptic number.

140712480 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 140712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

140712480 is an abundant number, since it is smaller than the sum of its proper divisors (382137120).

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

140712480 is a wasteful number, since it uses less digits than its factorization.

140712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 140712480 is about 11862.2291328401. The cubic root of 140712480 is about 520.1287649561.

The spelling of 140712480 in words is "one hundred forty million, seven hundred twelve thousand, four hundred eighty".