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112892661 = 32719372549
BaseRepresentation
bin1101011101010…
…01101011110101
321212102112121200
412232221223311
5212400031121
615111403113
72540400060
oct656515365
9255375550
10112892661
11587a7a22
1231983499
131a508bbb
1410dc98d7
159d9ea26
hex6ba9af5

112892661 has 48 divisors (see below), whose sum is σ = 201552000. Its totient is φ = 59439744.

The previous prime is 112892657. The next prime is 112892677. The reversal of 112892661 is 166298211.

It is not a de Polignac number, because 112892661 - 22 = 112892657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112892161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43015 + ... + 45563.

It is an arithmetic number, because the mean of its divisors is an integer number (4199000).

Almost surely, 2112892661 is an apocalyptic number.

It is an amenable number.

112892661 is a deficient number, since it is larger than the sum of its proper divisors (88659339).

112892661 is a wasteful number, since it uses less digits than its factorization.

112892661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2615 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 112892661 is about 10625.0958113327. The cubic root of 112892661 is about 483.3056846121.

The spelling of 112892661 in words is "one hundred twelve million, eight hundred ninety-two thousand, six hundred sixty-one".

Divisors: 1 3 7 9 19 21 37 57 63 111 133 171 259 333 399 703 777 1197 2109 2331 2549 4921 6327 7647 14763 17843 22941 44289 48431 53529 94313 145293 160587 282939 339017 435879 660191 848817 1017051 1791947 1980573 3051153 5375841 5941719 12543629 16127523 37630887 112892661