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56770200 = 23335210513
BaseRepresentation
bin1101100010001…
…1111010011000
310221211020002000
43120203322120
5104013121300
65344441000
71256352534
oct330437230
9127736060
1056770200
112a055323
1217019160
13b9b8b46
14777abc4
154eb5c00
hex3623e98

56770200 has 96 divisors (see below), whose sum is σ = 195560400. Its totient is φ = 15137280.

The previous prime is 56770193. The next prime is 56770223. The reversal of 56770200 is 207765.

56770200 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 (27).

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, 144 + ... + 10656.

Almost surely, 256770200 is an apocalyptic number.

56770200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56770200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97780200).

56770200 is an abundant number, since it is smaller than the sum of its proper divisors (138790200).

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

56770200 is a wasteful number, since it uses less digits than its factorization.

56770200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 56770200 is about 7534.6001884639. The cubic root of 56770200 is about 384.3322320054.

Adding to 56770200 its reverse (207765), we get a palindrome (56977965).

The spelling of 56770200 in words is "fifty-six million, seven hundred seventy thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 10513 21026 31539 42052 52565 63078 84104 94617 105130 126156 157695 189234 210260 252312 262825 283851 315390 378468 420520 473085 525650 567702 630780 756936 788475 946170 1051300 1135404 1261560 1419255 1576950 1892340 2102600 2270808 2365425 2838510 3153900 3784680 4730850 5677020 6307800 7096275 9461700 11354040 14192550 18923400 28385100 56770200