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140252580 = 223351319979
BaseRepresentation
bin10000101110000…
…01010110100100
3100202220120101000
420113001112210
5241401040310
621530033300
73322061436
oct1027012644
9322816330
10140252580
1172194926
123ab78830
13230982c0
14148ac656
15c4a64c0
hex85c15a4

140252580 has 96 divisors (see below), whose sum is σ = 469929600. Its totient is φ = 34521984.

The previous prime is 140252573. The next prime is 140252599. The reversal of 140252580 is 85252041.

It is a happy number.

140252580 is a `hidden beast` number, since 1 + 402 + 5 + 258 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2970 + ... + 17009.

It is an arithmetic number, because the mean of its divisors is an integer number (4895100).

Almost surely, 2140252580 is an apocalyptic number.

140252580 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 140252580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234964800).

140252580 is an abundant number, since it is smaller than the sum of its proper divisors (329677020).

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

140252580 is a wasteful number, since it uses less digits than its factorization.

140252580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20010 (or 20002 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 140252580 is about 11842.8282095114. The cubic root of 140252580 is about 519.5614892867.

The spelling of 140252580 in words is "one hundred forty million, two hundred fifty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 19979 39958 59937 79916 99895 119874 179811 199790 239748 259727 299685 359622 399580 519454 539433 599370 719244 779181 899055 1038908 1078866 1198740 1298635 1558362 1798110 2157732 2337543 2597270 2697165 3116724 3596220 3895905 4675086 5194540 5394330 7012629 7791810 9350172 10788660 11687715 14025258 15583620 23375430 28050516 35063145 46750860 70126290 140252580