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140735660 = 225131931919
BaseRepresentation
bin10000110001101…
…11010010101100
3100210211010000212
420120313102230
5242012020120
621544241552
73326143022
oct1030672254
9323733025
10140735660
117249486a
123b1702b8
1323207150
1414996712
15c54e6c5
hex86374ac

140735660 has 96 divisors (see below), whose sum is σ = 346214400. Its totient is φ = 47589120.

The previous prime is 140735659. The next prime is 140735663. The reversal of 140735660 is 66537041.

It is not an unprimeable number, because it can be changed into a prime (140735663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152681 + ... + 153599.

It is an arithmetic number, because the mean of its divisors is an integer number (3606400).

Almost surely, 2140735660 is an apocalyptic number.

140735660 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 140735660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173107200).

140735660 is an abundant number, since it is smaller than the sum of its proper divisors (205478740).

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

140735660 is a wasteful number, since it uses less digits than its factorization.

140735660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 140735660 is about 11863.2061433661. The cubic root of 140735660 is about 520.1573241922.

The spelling of 140735660 in words is "one hundred forty million, seven hundred thirty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 155 190 247 260 310 380 403 494 589 620 806 919 988 1178 1235 1612 1838 2015 2356 2470 2945 3676 4030 4595 4940 5890 7657 8060 9190 11780 11947 15314 17461 18380 23894 28489 30628 34922 38285 47788 56978 59735 69844 76570 87305 113956 119470 142445 153140 174610 226993 238940 284890 349220 370357 453986 541291 569780 740714 907972 1082582 1134965 1481428 1851785 2165164 2269930 2706455 3703570 4539860 5412910 7036783 7407140 10825820 14073566 28147132 35183915 70367830 140735660