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140257728 = 26321318731
BaseRepresentation
bin10000101110000…
…10100111000000
3100202220211102200
420113002213000
5241401221403
621530113200
73322112442
oct1027024700
9322824380
10140257728
1172198786
123ab7b800
132309a750
14148b0492
15c4a7ca3
hex85c29c0

140257728 has 84 divisors (see below), whose sum is σ = 432971448. Its totient is φ = 43153920.

The previous prime is 140257699. The next prime is 140257739. The reversal of 140257728 is 827752041.

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 = 140257692 and 140257701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1878 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (5154422).

Almost surely, 2140257728 is an apocalyptic number.

140257728 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 140257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216485724).

140257728 is an abundant number, since it is smaller than the sum of its proper divisors (292713720).

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

140257728 is a wasteful number, since it uses less digits than its factorization.

140257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18762 (or 18749 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 140257728 is about 11843.0455542483. The cubic root of 140257728 is about 519.5678460796.

The spelling of 140257728 in words is "one hundred forty million, two hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 18731 37462 56193 74924 112386 149848 168579 224772 243503 299696 337158 449544 487006 599392 674316 730509 899088 974012 1198784 1348632 1461018 1798176 1948024 2191527 2697264 2922036 3596352 3896048 4383054 5394528 5844072 7792096 8766108 10789056 11688144 15584192 17532216 23376288 35064432 46752576 70128864 140257728