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140978880 = 263557237
BaseRepresentation
bin10000110011100…
…10101011000000
3100211021110200000
420121302223000
5242042311010
621553400000
73331205100
oct1031625300
9324243600
10140978880
1172640579
123b269000
1323290a73
1414a1b200
15c59b7c0
hex8672ac0

140978880 has 504 divisors, whose sum is σ = 600779088. Its totient is φ = 31352832.

The previous prime is 140978861. The next prime is 140978923. The reversal of 140978880 is 88879041.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3810222 + ... + 3810258.

It is an arithmetic number, because the mean of its divisors is an integer number (1192022).

Almost surely, 2140978880 is an apocalyptic number.

140978880 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 140978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300389544).

140978880 is an abundant number, since it is smaller than the sum of its proper divisors (459800208).

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

140978880 is an equidigital number, since it uses as much as digits as its factorization.

140978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 140978880 is about 11873.4527413049. The cubic root of 140978880 is about 520.4567978161.

The spelling of 140978880 in words is "one hundred forty million, nine hundred seventy-eight thousand, eight hundred eighty".