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140112560 = 24572311153
BaseRepresentation
bin10000101100111…
…11001010110000
3100202122110022002
420112133022300
5241332100220
621523033132
73320636300
oct1026371260
9322573262
10140112560
11720a9705
123ab0b7a8
1323049653
1414873600
15c479c75
hex859f2b0

140112560 has 120 divisors (see below), whose sum is σ = 391510656. Its totient is φ = 46448640.

The previous prime is 140112559. The next prime is 140112617. The reversal of 140112560 is 65211041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120944 + ... + 122096.

Almost surely, 2140112560 is an apocalyptic number.

140112560 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 140112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195755328).

140112560 is an abundant number, since it is smaller than the sum of its proper divisors (251398096).

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

140112560 is a wasteful number, since it uses less digits than its factorization.

140112560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 140112560 is about 11836.9151386668. The cubic root of 140112560 is about 519.3885317491.

The spelling of 140112560 in words is "one hundred forty million, one hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 868 980 1085 1153 1240 1519 1736 1960 2170 2306 2480 3038 3472 3920 4340 4612 5765 6076 7595 8071 8680 9224 11530 12152 15190 16142 17360 18448 23060 24304 30380 32284 35743 40355 46120 56497 60760 64568 71486 80710 92240 112994 121520 129136 142972 161420 178715 225988 250201 282485 285944 322840 357430 451976 500402 564970 571888 645680 714860 903952 1000804 1129940 1251005 1429720 1751407 2001608 2259880 2502010 2859440 3502814 4003216 4519760 5004020 7005628 8757035 10008040 14011256 17514070 20016080 28022512 35028140 70056280 140112560