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140408928 = 253211234147
BaseRepresentation
bin10000101111001…
…11100001100000
3100210012111211200
420113213201200
5241421041203
621533241200
73323312322
oct1027474140
9323174750
10140408928
1172291340
123b033200
132312150a
141490d612
15c4d79a3
hex85e7860

140408928 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 38860800.

The previous prime is 140408897. The next prime is 140408953. The reversal of 140408928 is 829804041.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 140408892 and 140408901.

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, 2987401 + ... + 2987447.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2140408928 is an apocalyptic number.

140408928 is a gapful number since it is divisible by the number (18) 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 140408928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

140408928 is an abundant number, since it is smaller than the sum of its proper divisors (335109024).

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

140408928 is a wasteful number, since it uses less digits than its factorization.

140408928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 140408928 is about 11849.4273279345. The cubic root of 140408928 is about 519.7544797556.

The spelling of 140408928 in words is "one hundred forty million, four hundred eight thousand, nine hundred twenty-eight".