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56106660 = 223523109373
BaseRepresentation
bin1101011000000…
…1111010100100
310220120111212110
43112001322210
5103330403120
65322321020
71250620161
oct326017244
9126514773
1056106660
1129741845
1216959170
13b815b0c
147647068
154dd42e0
hex3581ea4

56106660 has 96 divisors (see below), whose sum is σ = 165876480. Its totient is φ = 14141952.

The previous prime is 56106649. The next prime is 56106667. The reversal of 56106660 is 6660165.

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

It is not an unprimeable number, because it can be changed into a prime (56106667) 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, 150234 + ... + 150606.

It is an arithmetic number, because the mean of its divisors is an integer number (1727880).

Almost surely, 256106660 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 56106660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82938240).

56106660 is an abundant number, since it is smaller than the sum of its proper divisors (109769820).

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

56106660 is a wasteful number, since it uses less digits than its factorization.

56106660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 56106660 is about 7490.4379044219. The cubic root of 56106660 is about 382.8289792212.

The spelling of 56106660 in words is "fifty-six million, one hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 109 115 138 218 230 276 327 345 373 436 460 545 654 690 746 1090 1119 1308 1380 1492 1635 1865 2180 2238 2507 3270 3730 4476 5014 5595 6540 7460 7521 8579 10028 11190 12535 15042 17158 22380 25070 25737 30084 34316 37605 40657 42895 50140 51474 75210 81314 85790 102948 121971 128685 150420 162628 171580 203285 243942 257370 406570 487884 514740 609855 813140 935111 1219710 1870222 2439420 2805333 3740444 4675555 5610666 9351110 11221332 14026665 18702220 28053330 56106660