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140754432 = 2937131953
BaseRepresentation
bin10000110001110…
…11111000000000
3100210212001210010
420120323320000
5242013120212
621544504520
73326251530
oct1030737000
9323761703
10140754432
11724a7985
123b17b140
1323212860
141499d4c0
15c55503c
hex863be00

140754432 has 320 divisors, whose sum is σ = 494968320. Its totient is φ = 34504704.

The previous prime is 140754431. The next prime is 140754433. The reversal of 140754432 is 234457041.

It is an interprime number because it is at equal distance from previous prime (140754431) and next prime (140754433).

It is a self number, because there is not a number n which added to its sum of digits gives 140754432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140754431) 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, 2655718 + ... + 2655770.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2140754432 is an apocalyptic number.

140754432 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 140754432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

140754432 is an abundant number, since it is smaller than the sum of its proper divisors (354213888).

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

140754432 is a wasteful number, since it uses less digits than its factorization.

140754432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 140754432 is about 11863.9973027644. The cubic root of 140754432 is about 520.1804501935.

The spelling of 140754432 in words is "one hundred forty million, seven hundred fifty-four thousand, four hundred thirty-two".