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140375040 = 21035131937
BaseRepresentation
bin10000101110111…
…11010000000000
3100210010210100120
420113133100000
5241414000130
621532420240
73323111451
oct1027372000
9323123316
10140375040
1172268933
123b017680
132310bc70
1414901128
15c4cc910
hex85df400

140375040 has 352 divisors, whose sum is σ = 522721920. Its totient is φ = 31850496.

The previous prime is 140375017. The next prime is 140375047. The reversal of 140375040 is 40573041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140375040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140375047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3793902 + ... + 3793938.

Almost surely, 2140375040 is an apocalyptic number.

140375040 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 140375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261360960).

140375040 is an abundant number, since it is smaller than the sum of its proper divisors (382346880).

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

140375040 is a wasteful number, since it uses less digits than its factorization.

140375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 140375040 is about 11847.9972991219. The cubic root of 140375040 is about 519.7126617666.

The spelling of 140375040 in words is "one hundred forty million, three hundred seventy-five thousand, forty".