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140116560 = 24351274597
BaseRepresentation
bin10000101101000…
…00001001010000
3100202122122210020
420112200021100
5241332212220
621523103440
73320654043
oct1026401120
9322578706
10140116560
1172101711
123ab11b80
132304b40c
1414874c5a
15c47b040
hex85a0250

140116560 has 80 divisors (see below), whose sum is σ = 437876736. Its totient is φ = 37062144.

The previous prime is 140116553. The next prime is 140116591. The reversal of 140116560 is 65611041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140116560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28182 + ... + 32778.

Almost surely, 2140116560 is an apocalyptic number.

140116560 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 140116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218938368).

140116560 is an abundant number, since it is smaller than the sum of its proper divisors (297760176).

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

140116560 is a wasteful number, since it uses less digits than its factorization.

140116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 140116560 is about 11837.0841004024. The cubic root of 140116560 is about 519.3934742857.

The spelling of 140116560 in words is "one hundred forty million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4597 5080 6096 7620 9194 10160 13791 15240 18388 22985 27582 30480 36776 45970 55164 68955 73552 91940 110328 137910 183880 220656 275820 367760 551640 583819 1103280 1167638 1751457 2335276 2919095 3502914 4670552 5838190 7005828 8757285 9341104 11676380 14011656 17514570 23352760 28023312 35029140 46705520 70058280 140116560