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140335680 = 2635178599
BaseRepresentation
bin10000101110101…
…01101001000000
3100210001210100210
420113111221000
5241411220210
621531514120
73322555632
oct1027255100
9323053323
10140335680
1172241301
123abb8940
13230c7084
14148d0a52
15c4c0e20
hex85d5a40

140335680 has 112 divisors (see below), whose sum is σ = 471830400. Its totient is φ = 35217408.

The previous prime is 140335639. The next prime is 140335681. The reversal of 140335680 is 86533041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (140335681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12021 + ... + 20619.

Almost surely, 2140335680 is an apocalyptic number.

140335680 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 140335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235915200).

140335680 is an abundant number, since it is smaller than the sum of its proper divisors (331494720).

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

140335680 is a wasteful number, since it uses less digits than its factorization.

140335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 140335680 is about 11846.3361424535. The cubic root of 140335680 is about 519.6640828488.

The spelling of 140335680 in words is "one hundred forty million, three hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 8599 16320 17198 25797 34396 42995 51594 68792 85990 103188 128985 137584 146183 171980 206376 257970 275168 292366 343960 412752 438549 515940 550336 584732 687920 730915 825504 877098 1031880 1169464 1375840 1461830 1651008 1754196 2063760 2192745 2338928 2751680 2923660 3508392 4127520 4385490 4677856 5847320 7016784 8255040 8770980 9355712 11694640 14033568 17541960 23389280 28067136 35083920 46778560 70167840 140335680