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61113834 = 2323123533
BaseRepresentation
bin1110100100100…
…0010111101010
311020222220102100
43221020113222
5111121120314
610021514230
71341313305
oct351102752
9136886370
1061113834
1131551801
1218572976
13c879c42
14818bb3c
155572c09
hex3a485ea

61113834 has 36 divisors (see below), whose sum is σ = 136861218. Its totient is φ = 19708560.

The previous prime is 61113791. The next prime is 61113851. The reversal of 61113834 is 43831116.

61113834 is a `hidden beast` number, since 611 + 13 + 8 + 34 = 666.

61113834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43599609 + 17514225 = 6603^2 + 4185^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61113798 and 61113807.

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 17 ways as a sum of consecutive naturals, for example, 15532 + ... + 19064.

Almost surely, 261113834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61113834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68430609).

61113834 is an abundant number, since it is smaller than the sum of its proper divisors (75747384).

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

61113834 is a wasteful number, since it uses less digits than its factorization.

61113834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3569 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 61113834 is about 7817.5337543243. The cubic root of 61113834 is about 393.8944334833.

The spelling of 61113834 in words is "sixty-one million, one hundred thirteen thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 961 1922 2883 3533 5766 7066 8649 10599 17298 21198 31797 63594 109523 219046 328569 657138 985707 1971414 3395213 6790426 10185639 20371278 30556917 61113834