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140434560 = 27365743
BaseRepresentation
bin10000101111011…
…01110010000000
3100210020211000000
420113231302000
5241422401220
621534000000
73323450130
oct1027556200
9323224000
10140434560
11722a9622
123b046000
1323130096
1414918ac0
15c4e0390
hex85edc80

140434560 has 448 divisors, whose sum is σ = 588646080. Its totient is φ = 31352832.

The previous prime is 140434549. The next prime is 140434571. The reversal of 140434560 is 65434041.

It is an interprime number because it is at equal distance from previous prime (140434549) and next prime (140434571).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265899 + ... + 3265941.

Almost surely, 2140434560 is an apocalyptic number.

140434560 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 140434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294323040).

140434560 is an abundant number, since it is smaller than the sum of its proper divisors (448211520).

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

140434560 is an frugal number, since it uses more digits than its factorization.

140434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 140434560 is about 11850.5088498343. The cubic root of 140434560 is about 519.7861053234.

The spelling of 140434560 in words is "one hundred forty million, four hundred thirty-four thousand, five hundred sixty".