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112167396 = 223311263359
BaseRepresentation
bin1101010111110…
…00100111100100
321211001200202000
412223320213210
5212203324041
615044045300
72531256435
oct653704744
9254050660
10112167396
1158352030
1231693830
131a313a53
1410c7b48c
159ca9bb6
hex6af89e4

112167396 has 96 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 33766560.

The previous prime is 112167383. The next prime is 112167397. The reversal of 112167396 is 693761211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112167396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112167397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312265 + ... + 312623.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2112167396 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 112167396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

112167396 is an abundant number, since it is smaller than the sum of its proper divisors (207167004).

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

112167396 is a wasteful number, since it uses less digits than its factorization.

112167396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 112167396 is about 10590.9110089737. The cubic root of 112167396 is about 482.2684810150.

The spelling of 112167396 in words is "one hundred twelve million, one hundred sixty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 263 297 359 396 526 594 718 789 1052 1077 1188 1436 1578 2154 2367 2893 3156 3231 3949 4308 4734 5786 6462 7101 7898 8679 9468 9693 11572 11847 12924 14202 15796 17358 19386 23694 26037 28404 34716 35541 38772 47388 52074 71082 78111 94417 104148 106623 142164 156222 188834 213246 283251 312444 377668 426492 566502 849753 1038587 1133004 1699506 2077174 2549259 3115761 3399012 4154348 5098518 6231522 9347283 10197036 12463044 18694566 28041849 37389132 56083698 112167396