Search a number
-
+
56128340 = 2252924771
BaseRepresentation
bin1101011000011…
…1001101010100
310220121121121102
43112013031110
5103332101330
65323005232
71251040322
oct326071524
9126547542
1056128340
1129757064
1216969818
13b822948
147650d12
154dda945
hex3587354

56128340 has 72 divisors (see below), whose sum is σ = 126427392. Its totient is φ = 20917120.

The previous prime is 56128327. The next prime is 56128363. The reversal of 56128340 is 4382165.

56128340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790505 + ... + 790575.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 256128340 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 56128340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63213696).

56128340 is an abundant number, since it is smaller than the sum of its proper divisors (70299052).

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

56128340 is a wasteful number, since it uses less digits than its factorization.

56128340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 56128340 is about 7491.8849430567. The cubic root of 56128340 is about 382.8782821232.

The spelling of 56128340 in words is "fifty-six million, one hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 47 58 71 94 116 142 145 188 235 284 290 355 470 580 710 841 940 1363 1420 1682 2059 2726 3337 3364 4118 4205 5452 6674 6815 8236 8410 10295 13348 13630 16685 16820 20590 27260 33370 39527 41180 59711 66740 79054 96773 119422 158108 193546 197635 238844 298555 387092 395270 483865 597110 790540 967730 1194220 1935460 2806417 5612834 11225668 14032085 28064170 56128340