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140418432 = 27327111583
BaseRepresentation
bin10000101111010…
…01110110000000
3100210012222212200
420113221312000
5241421342212
621533353200
73323352120
oct1027516600
9323188780
10140418432
11722984a0
123b038800
132312593b
1414912c80
15c4da6dc
hex85e9d80

140418432 has 192 divisors, whose sum is σ = 504092160. Its totient is φ = 36449280.

The previous prime is 140418431. The next prime is 140418451. The reversal of 140418432 is 234814041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 140418396 and 140418405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140418431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87913 + ... + 89495.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 2140418432 is an apocalyptic number.

140418432 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 140418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252046080).

140418432 is an abundant number, since it is smaller than the sum of its proper divisors (363673728).

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

140418432 is a wasteful number, since it uses less digits than its factorization.

140418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 140418432 is about 11849.8283531872. The cubic root of 140418432 is about 519.7662065386.

The spelling of 140418432 in words is "one hundred forty million, four hundred eighteen thousand, four hundred thirty-two".