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140005760 = 275283773
BaseRepresentation
bin10000101100001…
…01000110000000
3100202110000210112
420112011012000
5241320141020
621520450452
73320013026
oct1026050600
9322400715
10140005760
1172036444
123aa79a28
132300cb5b
1414846716
15c4582c5
hex8585180

140005760 has 64 divisors (see below), whose sum is σ = 336318480. Its totient is φ = 55732224.

The previous prime is 140005759. The next prime is 140005763. The reversal of 140005760 is 67500041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1400057602 = 39203225666355200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140005763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180734 + ... + 181506.

Almost surely, 2140005760 is an apocalyptic number.

140005760 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 140005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168159240).

140005760 is an abundant number, since it is smaller than the sum of its proper divisors (196312720).

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

140005760 is an equidigital number, since it uses as much as digits as its factorization.

140005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 140005760 is about 11832.4029681211. The cubic root of 140005760 is about 519.2565312222.

The spelling of 140005760 in words is "one hundred forty million, five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 283 320 566 640 773 1132 1415 1546 2264 2830 3092 3865 4528 5660 6184 7730 9056 11320 12368 15460 18112 22640 24736 30920 36224 45280 49472 61840 90560 98944 123680 181120 218759 247360 437518 494720 875036 1093795 1750072 2187590 3500144 4375180 7000288 8750360 14000576 17500720 28001152 35001440 70002880 140005760