Search a number
-
+
56724920 = 2357172701
BaseRepresentation
bin1101100001100…
…0110110111000
310221201220221222
43120120312320
5104010144140
65343451212
71256103530
oct330306670
9127656858
1056724920
112a0242aa
1216bb6b08
13b9a1355
1477684c0
154ea75b5
hex3618db8

56724920 has 96 divisors (see below), whose sum is σ = 155170080. Its totient is φ = 18278400.

The previous prime is 56724919. The next prime is 56724949. The reversal of 56724920 is 2942765.

56724920 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 (35).

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, 80570 + ... + 81270.

It is an arithmetic number, because the mean of its divisors is an integer number (1616355).

Almost surely, 256724920 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 56724920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77585040).

56724920 is an abundant number, since it is smaller than the sum of its proper divisors (98445160).

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

56724920 is a wasteful number, since it uses less digits than its factorization.

56724920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 56724920 is about 7531.5947846389. The cubic root of 56724920 is about 384.2300234976.

The spelling of 56724920 in words is "fifty-six million, seven hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 289 340 476 578 595 680 701 952 1156 1190 1402 1445 2023 2312 2380 2804 2890 3505 4046 4760 4907 5608 5780 7010 8092 9814 10115 11560 11917 14020 16184 19628 20230 23834 24535 28040 39256 40460 47668 49070 59585 80920 83419 95336 98140 119170 166838 196280 202589 238340 333676 405178 417095 476680 667352 810356 834190 1012945 1418123 1620712 1668380 2025890 2836246 3336760 4051780 5672492 7090615 8103560 11344984 14181230 28362460 56724920