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140823648 = 25327217587
BaseRepresentation
bin10000110010011…
…00110001100000
3100210222120201200
420121030301200
5242022324043
621550201200
73326660400
oct1031146140
9323876650
10140823648
1172544989
123b1b3200
1323238204
14149ba800
15c56a7d3
hex864cc60

140823648 has 216 divisors, whose sum is σ = 494092872. Its totient is φ = 37804032.

The previous prime is 140823637. The next prime is 140823653. The reversal of 140823648 is 846328041.

140823648 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 2 + 3 + 648 = 666.

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 35 ways as a sum of consecutive naturals, for example, 239611 + ... + 240197.

It is an arithmetic number, because the mean of its divisors is an integer number (2287467).

Almost surely, 2140823648 is an apocalyptic number.

140823648 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 140823648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247046436).

140823648 is an abundant number, since it is smaller than the sum of its proper divisors (353269224).

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

140823648 is a wasteful number, since it uses less digits than its factorization.

140823648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 140823648 is about 11866.9140049130. The cubic root of 140823648 is about 520.2657024762.

The spelling of 140823648 in words is "one hundred forty million, eight hundred twenty-three thousand, six hundred forty-eight".