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140784072 = 23311131719127
BaseRepresentation
bin10000110010000…
…11000111001000
3100210220120102220
420121003013020
5242020042242
621545254040
73326434122
oct1031030710
9323816386
10140784072
1172518180
123b194320
13232231b0
14149aa212
15c55dbec
hex86431c8

140784072 has 256 divisors, whose sum is σ = 464486400. Its totient is φ = 34836480.

The previous prime is 140784041. The next prime is 140784079. The reversal of 140784072 is 270487041.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (140784079) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1108473 + ... + 1108599.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2140784072 is an apocalyptic number.

140784072 is a gapful number since it is divisible by the number (12) 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 140784072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

140784072 is an abundant number, since it is smaller than the sum of its proper divisors (323702328).

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

140784072 is a wasteful number, since it uses less digits than its factorization.

140784072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 140784072 is about 11865.2463944075. The cubic root of 140784072 is about 520.2169607465.

The spelling of 140784072 in words is "one hundred forty million, seven hundred eighty-four thousand, seventy-two".