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112292406 = 2341016863
BaseRepresentation
bin1101011000101…
…11001000110110
321211022001020000
412230113020312
5212221324111
615050452130
72532320052
oct654271066
9254261200
10112292406
1158427a46
1231734046
131a358915
1410cb0c62
159cd1c56
hex6b17236

112292406 has 40 divisors (see below), whose sum is σ = 254146464. Its totient is φ = 37054800.

The previous prime is 112292387. The next prime is 112292407. The reversal of 112292406 is 604292211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112292406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112292407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12931 + ... + 19793.

Almost surely, 2112292406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112292406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127073232).

112292406 is an abundant number, since it is smaller than the sum of its proper divisors (141854058).

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

112292406 is a wasteful number, since it uses less digits than its factorization.

112292406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978 (or 6969 counting only the distinct ones).

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

The square root of 112292406 is about 10596.8111241071. The cubic root of 112292406 is about 482.4475764319.

It can be divided in two parts, 1122 and 92406, that added together give a triangular number (93528 = T432).

The spelling of 112292406 in words is "one hundred twelve million, two hundred ninety-two thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 6863 8181 13726 16362 20589 41178 61767 123534 185301 370602 555903 693163 1111806 1386326 2079489 4158978 6238467 12476934 18715401 37430802 56146203 112292406