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56734020 = 2234575003
BaseRepresentation
bin1101100001101…
…1000101000100
310221202101110000
43120123011010
5104010442040
65344001300
71256142210
oct330330504
9127671400
1056734020
112a030122
1217000230
13b9a5535
14776b940
154eaa130
hex361b144

56734020 has 120 divisors (see below), whose sum is σ = 203442624. Its totient is φ = 12965184.

The previous prime is 56734003. The next prime is 56734081. The reversal of 56734020 is 2043765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8839 + ... + 13841.

Almost surely, 256734020 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 56734020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101721312).

56734020 is an abundant number, since it is smaller than the sum of its proper divisors (146708604).

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

56734020 is a wasteful number, since it uses less digits than its factorization.

56734020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56734020 is about 7532.1988821326. The cubic root of 56734020 is about 384.2505688843.

Adding to 56734020 its reverse (2043765), we get a palindrome (58777785).

It can be divided in two parts, 5 and 6734020, that added together give a square (6734025 = 25952).

The spelling of 56734020 in words is "fifty-six million, seven hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5003 5670 10006 11340 15009 20012 25015 30018 35021 45027 50030 60036 70042 75045 90054 100060 105063 135081 140084 150090 175105 180108 210126 225135 270162 300180 315189 350210 405243 420252 450270 525315 540324 630378 675405 700420 810486 900540 945567 1050630 1260756 1350810 1575945 1620972 1891134 2026215 2101260 2701620 2836701 3151890 3782268 4052430 4727835 5673402 6303780 8104860 9455670 11346804 14183505 18911340 28367010 56734020