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140038080 = 26357213229
BaseRepresentation
bin10000101100011…
…00111111000000
3100202111200010120
420112030333000
5241322204310
621521300240
73320206200
oct1026147700
9322450116
10140038080
1172058756
123aa94680
1323021790
1414854400
15c462b70
hex858cfc0

140038080 has 336 divisors, whose sum is σ = 559429920. Its totient is φ = 29417472.

The previous prime is 140038049. The next prime is 140038109. The reversal of 140038080 is 80830041.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1400380802 = 39221327700172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140038080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611406 + ... + 611634.

It is an arithmetic number, because the mean of its divisors is an integer number (1664970).

Almost surely, 2140038080 is an apocalyptic number.

140038080 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 140038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279714960).

140038080 is an abundant number, since it is smaller than the sum of its proper divisors (419391840).

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

140038080 is a wasteful number, since it uses less digits than its factorization.

140038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 140038080 is about 11833.7686304913. The cubic root of 140038080 is about 519.2964845305.

The spelling of 140038080 in words is "one hundred forty million, thirty-eight thousand, eighty".