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562561140 = 2235232914057
BaseRepresentation
bin100001100010000…
…000000001110100
31110012120001210210
4201202000001310
52123003424030
6131453345420
716640455641
oct4142000164
91405501723
10562561140
11269607569
12138498270
138c71aa1b
14549dcdc8
15345c4bb0
hex21880074

562561140 has 96 divisors (see below), whose sum is σ = 1700455680. Its totient is φ = 138535936.

The previous prime is 562561049. The next prime is 562561147. The reversal of 562561140 is 41165265.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 562561098 and 562561107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562561147) 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, 32992 + ... + 47048.

It is an arithmetic number, because the mean of its divisors is an integer number (17713080).

Almost surely, 2562561140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562561140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850227840).

562561140 is an abundant number, since it is smaller than the sum of its proper divisors (1137894540).

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

562561140 is a wasteful number, since it uses less digits than its factorization.

562561140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121 (or 14119 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 562561140 is about 23718.3713606141. The cubic root of 562561140 is about 825.5117192634.

The spelling of 562561140 in words is "five hundred sixty-two million, five hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 29 30 46 58 60 69 87 92 115 116 138 145 174 230 276 290 345 348 435 460 580 667 690 870 1334 1380 1740 2001 2668 3335 4002 6670 8004 10005 13340 14057 20010 28114 40020 42171 56228 70285 84342 140570 168684 210855 281140 323311 407653 421710 646622 815306 843420 969933 1222959 1293244 1616555 1630612 1939866 2038265 2445918 3233110 3879732 4076530 4849665 4891836 6114795 6466220 8153060 9376019 9699330 12229590 18752038 19398660 24459180 28128057 37504076 46880095 56256114 93760190 112512228 140640285 187520380 281280570 562561140