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140805420 = 223572471019
BaseRepresentation
bin10000110010010…
…00010100101100
3100210221122201120
420121020110230
5242021233140
621545540540
73326553300
oct1031102454
9323848646
10140805420
1172532218
123b1a4750
132322cb22
14149b3d00
15c5651d0
hex864852c

140805420 has 144 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 31468416.

The previous prime is 140805419. The next prime is 140805421. The reversal of 140805420 is 24508041.

It is an interprime number because it is at equal distance from previous prime (140805419) and next prime (140805421).

It is not an unprimeable number, because it can be changed into a prime (140805421) 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, 137671 + ... + 138689.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 2140805420 is an apocalyptic number.

140805420 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 140805420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

140805420 is an abundant number, since it is smaller than the sum of its proper divisors (328035540).

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

140805420 is a wasteful number, since it uses less digits than its factorization.

140805420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 140805420 is about 11866.1459623586. The cubic root of 140805420 is about 520.2432540390.

The spelling of 140805420 in words is "one hundred forty million, eight hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 282 294 329 420 470 490 564 588 658 705 735 940 980 987 1019 1316 1410 1470 1645 1974 2038 2303 2820 2940 3057 3290 3948 4076 4606 4935 5095 6114 6580 6909 7133 9212 9870 10190 11515 12228 13818 14266 15285 19740 20380 21399 23030 27636 28532 30570 34545 35665 42798 46060 47893 49931 61140 69090 71330 85596 95786 99862 106995 138180 142660 143679 149793 191572 199724 213990 239465 249655 287358 299586 335251 427980 478930 499310 574716 599172 670502 718395 748965 957860 998620 1005753 1341004 1436790 1497930 1676255 2011506 2346757 2873580 2995860 3352510 4023012 4693514 5028765 6705020 7040271 9387028 10057530 11733785 14080542 20115060 23467570 28161084 35201355 46935140 70402710 140805420