Search a number
-
+
56093100 = 22352726711
BaseRepresentation
bin1101010111111…
…0100110101100
310220112211021020
43111332212230
5103324434400
65322134140
71250532510
oct325764654
9126484236
1056093100
1129732638
1216951350
13b80c8ab
147642140
154dd02a0
hex357e9ac

56093100 has 72 divisors (see below), whose sum is σ = 185488128. Its totient is φ = 12820800.

The previous prime is 56093069. The next prime is 56093101. The reversal of 56093100 is 139065.

It is a super-2 number, since 2×560931002 = 6292871735220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56093101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11256 + ... + 15455.

It is an arithmetic number, because the mean of its divisors is an integer number (2576224).

Almost surely, 256093100 is an apocalyptic number.

56093100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56093100 is an abundant number, since it is smaller than the sum of its proper divisors (129395028).

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

56093100 is a wasteful number, since it uses less digits than its factorization.

56093100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26735 (or 26728 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 56093100 is about 7489.5326957027. The cubic root of 56093100 is about 382.7981357098.

The spelling of 56093100 in words is "fifty-six million, ninety-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 26711 53422 80133 106844 133555 160266 186977 267110 320532 373954 400665 534220 560931 667775 747908 801330 934885 1121862 1335550 1602660 1869770 2003325 2243724 2671100 2804655 3739540 4006650 4674425 5609310 8013300 9348850 11218620 14023275 18697700 28046550 56093100