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140061300 = 223521729947
BaseRepresentation
bin10000101100100…
…10101001110100
3100202112211222120
420112102221310
5241323430200
621521555540
73320333661
oct1026225164
9322484876
10140061300
1172074145
123aaa5bb0
132302c212
141485ca68
15c4699a0
hex8592a74

140061300 has 144 divisors (see below), whose sum is σ = 444346560. Its totient is φ = 33904640.

The previous prime is 140061281. The next prime is 140061301. The reversal of 140061300 is 3160041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 140061300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140061301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147427 + ... + 148373.

It is an arithmetic number, because the mean of its divisors is an integer number (3085740).

Almost surely, 2140061300 is an apocalyptic number.

140061300 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 140061300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222173280).

140061300 is an abundant number, since it is smaller than the sum of its proper divisors (304285260).

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

140061300 is a wasteful number, since it uses less digits than its factorization.

140061300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 140061300 is about 11834.7496804960. The cubic root of 140061300 is about 519.3251848144.

The spelling of 140061300 in words is "one hundred forty million, sixty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 145 150 170 174 204 255 290 300 340 348 425 435 493 510 580 725 850 870 947 986 1020 1275 1450 1479 1700 1740 1894 1972 2175 2465 2550 2841 2900 2958 3788 4350 4735 4930 5100 5682 5916 7395 8700 9470 9860 11364 12325 14205 14790 16099 18940 23675 24650 27463 28410 29580 32198 36975 47350 48297 49300 54926 56820 64396 71025 73950 80495 82389 94700 96594 109852 137315 142050 147900 160990 164778 193188 241485 274630 284100 321980 329556 402475 411945 466871 482970 549260 686575 804950 823890 933742 965940 1207425 1373150 1400613 1609900 1647780 1867484 2059725 2334355 2414850 2746300 2801226 4119450 4668710 4829700 5602452 7003065 8238900 9337420 11671775 14006130 23343550 28012260 35015325 46687100 70030650 140061300