Search a number
-
+
61093100 = 22525311527
BaseRepresentation
bin1110100100001…
…1010011101100
311020221211222102
43221003103230
5111114434400
610021234232
71341165665
oct351032354
9136854872
1061093100
1131538172
1218562978
13c870683
14818436c
15556b9d5
hex3a434ec

61093100 has 36 divisors (see below), whose sum is σ = 135085104. Its totient is φ = 23974080.

The previous prime is 61093093. The next prime is 61093117. The reversal of 61093100 is 139016.

61093100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×610931002 = 7464733735220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 464 + ... + 11063.

It is an arithmetic number, because the mean of its divisors is an integer number (3752364).

Almost surely, 261093100 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 61093100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67542552).

61093100 is an abundant number, since it is smaller than the sum of its proper divisors (73992004).

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

61093100 is a wasteful number, since it uses less digits than its factorization.

61093100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11594 (or 11587 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 61093100 is about 7816.2075202748. The cubic root of 61093100 is about 393.8498831176.

The spelling of 61093100 in words is "sixty-one million, ninety-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 11527 23054 46108 57635 115270 230540 288175 576350 610931 1152700 1221862 2443724 3054655 6109310 12218620 15273275 30546550 61093100