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56035020 = 22353743587
BaseRepresentation
bin1101010111000…
…0011011001100
310220102212121010
43111300123030
5103321110040
65321005220
71250201256
oct325603314
9126385533
1056035020
11296a2a38
1216923810
13b7bc322
147628cd6
154dbce80
hex35706cc

56035020 has 96 divisors (see below), whose sum is σ = 165166848. Its totient is φ = 14176512.

The previous prime is 56035003. The next prime is 56035033. The reversal of 56035020 is 2053065.

56035020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 95167 + ... + 95753.

It is an arithmetic number, because the mean of its divisors is an integer number (1720488).

Almost surely, 256035020 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 56035020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82583424).

56035020 is an abundant number, since it is smaller than the sum of its proper divisors (109131828).

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

56035020 is a wasteful number, since it uses less digits than its factorization.

56035020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 56035020 is about 7485.6542800212. The cubic root of 56035020 is about 382.6659709479.

Adding to 56035020 its reverse (2053065), we get a palindrome (58088085).

The spelling of 56035020 in words is "fifty-six million, thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 172 185 215 222 258 370 430 444 516 555 587 645 740 860 1110 1174 1290 1591 1761 2220 2348 2580 2935 3182 3522 4773 5870 6364 7044 7955 8805 9546 11740 15910 17610 19092 21719 23865 25241 31820 35220 43438 47730 50482 65157 75723 86876 95460 100964 108595 126205 130314 151446 217190 252410 260628 302892 325785 378615 434380 504820 651570 757230 933917 1303140 1514460 1867834 2801751 3735668 4669585 5603502 9339170 11207004 14008755 18678340 28017510 56035020