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140647680 = 2832529421
BaseRepresentation
bin10000110001000…
…01110100000000
3100210122122100100
420120201310000
5242001211210
621542322400
73325325355
oct1030416400
9323578310
10140647680
1172434758
123b129400
13231a60a4
141497262c
15c5335c0
hex8621d00

140647680 has 216 divisors, whose sum is σ = 504602280. Its totient is φ = 36126720.

The previous prime is 140647667. The next prime is 140647697. The reversal of 140647680 is 86746041.

140647680 is a `hidden beast` number, since 1 + 4 + 0 + 647 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 140564736 = 288^2 + 11856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333870 + ... + 334290.

Almost surely, 2140647680 is an apocalyptic number.

140647680 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 140647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252301140).

140647680 is an abundant number, since it is smaller than the sum of its proper divisors (363954600).

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

140647680 is a wasteful number, since it uses less digits than its factorization.

140647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 140647680 is about 11859.4974598420. The cubic root of 140647680 is about 520.0489105868.

The spelling of 140647680 in words is "one hundred forty million, six hundred forty-seven thousand, six hundred eighty".