Search a number
-
+
112426236 = 2232132171087
BaseRepresentation
bin1101011001101…
…11110011111100
321211112211210200
412230313303330
5212240114421
615053403500
72533415166
oct654676374
9254484720
10112426236
115850954a
1231799590
131a3a4800
1410d07936
159d0b726
hex6b37cfc

112426236 has 108 divisors (see below), whose sum is σ = 326132352. Its totient is φ = 32527872.

The previous prime is 112426217. The next prime is 112426261. The reversal of 112426236 is 632624211.

112426236 is a `hidden beast` number, since 1 + 1 + 2 + 426 + 236 = 666.

It is a super-2 number, since 2×1124262362 = 25279317082255392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102885 + ... + 103971.

It is an arithmetic number, because the mean of its divisors is an integer number (3019744).

Almost surely, 2112426236 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 112426236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163066176).

112426236 is an abundant number, since it is smaller than the sum of its proper divisors (213706116).

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

112426236 is a wasteful number, since it uses less digits than its factorization.

112426236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1122 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 112426236 is about 10603.1238793103. The cubic root of 112426236 is about 482.6391605545.

The spelling of 112426236 in words is "one hundred twelve million, four hundred twenty-six thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 169 204 221 234 306 338 442 468 507 612 663 676 884 1014 1087 1326 1521 1989 2028 2174 2652 2873 3042 3261 3978 4348 5746 6084 6522 7956 8619 9783 11492 13044 14131 17238 18479 19566 25857 28262 34476 36958 39132 42393 51714 55437 56524 73916 84786 103428 110874 127179 166311 169572 183703 221748 240227 254358 332622 367406 480454 508716 551109 665244 720681 734812 960908 1102218 1441362 1653327 2162043 2204436 2882724 3122951 3306654 4324086 6245902 6613308 8648172 9368853 12491804 18737706 28106559 37475412 56213118 112426236