Search a number
-
+
56623420 = 22572193041
BaseRepresentation
bin1101100000000…
…0000100111100
310221112202201201
43120000010330
5103443422140
65341345244
71255201600
oct330000474
9127482651
1056623420
1129a65017
1216b68224
13b9670a9
14773d500
154e8749a
hex360013c

56623420 has 72 divisors (see below), whose sum is σ = 145650960. Its totient is φ = 18385920.

The previous prime is 56623417. The next prime is 56623507. The reversal of 56623420 is 2432665.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 17100 + ... + 20140.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 256623420 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 56623420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72825480).

56623420 is an abundant number, since it is smaller than the sum of its proper divisors (89027540).

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

56623420 is a wasteful number, since it uses less digits than its factorization.

56623420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 56623420 is about 7524.8534869458. The cubic root of 56623420 is about 384.0007143361. Note that the first 3 decimals are identical.

The spelling of 56623420 in words is "fifty-six million, six hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3041 3724 4655 6082 9310 12164 15205 18620 21287 30410 42574 57779 60820 85148 106435 115558 149009 212870 231116 288895 298018 404453 425740 577790 596036 745045 808906 1155580 1490090 1617812 2022265 2831171 2980180 4044530 5662342 8089060 11324684 14155855 28311710 56623420