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140506140 = 223519592089
BaseRepresentation
bin10000101111111…
…11010000011100
3100210101110012010
420113333100130
5241432144030
621535311220
73324165615
oct1027772034
9323343163
10140506140
1172348385
123b07b510
1323156838
1414936c0c
15c5066b0
hex85ff41c

140506140 has 96 divisors (see below), whose sum is σ = 421344000. Its totient is φ = 34877952.

The previous prime is 140506117. The next prime is 140506141. The reversal of 140506140 is 41605041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140506141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66216 + ... + 68304.

It is an arithmetic number, because the mean of its divisors is an integer number (4389000).

Almost surely, 2140506140 is an apocalyptic number.

140506140 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 140506140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210672000).

140506140 is an abundant number, since it is smaller than the sum of its proper divisors (280837860).

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

140506140 is a wasteful number, since it uses less digits than its factorization.

140506140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 140506140 is about 11853.5285885680. The cubic root of 140506140 is about 519.8744026053.

The spelling of 140506140 in words is "one hundred forty million, five hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 59 60 76 95 114 118 177 190 228 236 285 295 354 380 570 590 708 885 1121 1140 1180 1770 2089 2242 3363 3540 4178 4484 5605 6267 6726 8356 10445 11210 12534 13452 16815 20890 22420 25068 31335 33630 39691 41780 62670 67260 79382 119073 123251 125340 158764 198455 238146 246502 369753 396910 476292 493004 595365 616255 739506 793820 1190730 1232510 1479012 1848765 2341769 2381460 2465020 3697530 4683538 7025307 7395060 9367076 11708845 14050614 23417690 28101228 35126535 46835380 70253070 140506140