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140369580 = 2232513223269
BaseRepresentation
bin10000101110111…
…01111010101100
3100210010111212100
420113131322230
5241413311310
621532335100
73323056521
oct1027357254
9323114770
10140369580
117226481a
123b014490
1323109630
14148dd148
15c4caec0
hex85ddeac

140369580 has 144 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 34269696.

The previous prime is 140369563. The next prime is 140369591. The reversal of 140369580 is 85963041.

140369580 is a `hidden beast` number, since 1 + 40 + 36 + 9 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521686 + ... + 521954.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2140369580 is an apocalyptic number.

140369580 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 140369580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

140369580 is an abundant number, since it is smaller than the sum of its proper divisors (321939540).

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

140369580 is a wasteful number, since it uses less digits than its factorization.

140369580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 140369580 is about 11847.7668781927. The cubic root of 140369580 is about 519.7059234653.

The spelling of 140369580 in words is "one hundred forty million, three hundred sixty-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 223 234 260 269 390 446 468 538 585 669 780 807 892 1076 1115 1170 1338 1345 1614 2007 2230 2340 2421 2676 2690 2899 3228 3345 3497 4014 4035 4460 4842 5380 5798 6690 6994 8028 8070 8697 9684 10035 10491 11596 12105 13380 13988 14495 16140 17394 17485 20070 20982 24210 26091 28990 31473 34788 34970 40140 41964 43485 48420 52182 52455 57980 59987 62946 69940 86970 104364 104910 119974 125892 130455 157365 173940 179961 209820 239948 260910 299935 314730 359922 521820 539883 599870 629460 719844 779831 899805 1079766 1199740 1559662 1799610 2159532 2339493 2699415 3119324 3599220 3899155 4678986 5398830 7018479 7798310 9357972 10797660 11697465 14036958 15596620 23394930 28073916 35092395 46789860 70184790 140369580