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56065100 = 225271361101
BaseRepresentation
bin1101010111011…
…1110001001100
310220111101212012
43111313301030
5103323040400
65321400352
71250355050
oct325676114
9126441765
1056065100
11297135a3
12169390b8
13b7ccc20
147635c60
154dc6d35
hex3577c4c

56065100 has 144 divisors (see below), whose sum is σ = 153698496. Its totient is φ = 17280000.

The previous prime is 56065057. The next prime is 56065109. The reversal of 56065100 is 156065.

It is not an unprimeable number, because it can be changed into a prime (56065109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555050 + ... + 555150.

Almost surely, 256065100 is an apocalyptic number.

56065100 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 56065100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76849248).

56065100 is an abundant number, since it is smaller than the sum of its proper divisors (97633396).

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

56065100 is a wasteful number, since it uses less digits than its factorization.

56065100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 56065100 is about 7487.6631868695. The cubic root of 56065100 is about 382.7344313105.

It can be divided in two parts, 56065 and 100, that added together give a palindrome (56165).

The spelling of 56065100 in words is "fifty-six million, sixty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 61 65 70 91 100 101 122 130 140 175 182 202 244 260 305 325 350 364 404 427 455 505 610 650 700 707 793 854 910 1010 1220 1300 1313 1414 1525 1586 1708 1820 2020 2135 2275 2525 2626 2828 3050 3172 3535 3965 4270 4550 5050 5252 5551 6100 6161 6565 7070 7930 8540 9100 9191 10100 10675 11102 12322 13130 14140 15860 17675 18382 19825 21350 22204 24644 26260 27755 30805 32825 35350 36764 39650 42700 43127 45955 55510 61610 65650 70700 79300 80093 86254 91910 111020 123220 131300 138775 154025 160186 172508 183820 215635 229775 277550 308050 320372 400465 431270 459550 555100 560651 616100 800930 862540 919100 1078175 1121302 1601860 2002325 2156350 2242604 2803255 4004650 4312700 5606510 8009300 11213020 14016275 28032550 56065100