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56840760 = 23325413851
BaseRepresentation
bin1101100011010…
…1001000111000
310221221210212100
43120311020320
5104022401020
65350143400
71260065334
oct330651070
9127853770
1056840760
112a0a3339
1217051b60
13ba11cb2
1477987c4
154ecba90
hex3635238

56840760 has 96 divisors (see below), whose sum is σ = 189287280. Its totient is φ = 14784000.

The previous prime is 56840759. The next prime is 56840803. The reversal of 56840760 is 6704865.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12835 + ... + 16685.

Almost surely, 256840760 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 56840760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94643640).

56840760 is an abundant number, since it is smaller than the sum of its proper divisors (132446520).

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

56840760 is a wasteful number, since it uses less digits than its factorization.

56840760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56840760 is about 7539.2811328402. The cubic root of 56840760 is about 384.4913956441.

It can be divided in two parts, 56840 and 760, that added together give a square (57600 = 2402).

The spelling of 56840760 in words is "fifty-six million, eight hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 3851 4920 7380 7702 11553 14760 15404 19255 23106 30808 34659 38510 46212 57765 69318 77020 92424 115530 138636 154040 157891 173295 231060 277272 315782 346590 462120 473673 631564 693180 789455 947346 1263128 1386360 1421019 1578910 1894692 2368365 2842038 3157820 3789384 4736730 5684076 6315640 7105095 9473460 11368152 14210190 18946920 28420380 56840760