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112261044 = 223719312269
BaseRepresentation
bin1101011000011…
…11011110110100
321211020110012110
412230033132310
5212214323134
615050051020
72532126450
oct654173664
9254213173
10112261044
1158406425
1231719a70
131a34756c
1410ca3660
159cc77e9
hex6b0f7b4

112261044 has 96 divisors (see below), whose sum is σ = 325427200. Its totient is φ = 29393280.

The previous prime is 112261043. The next prime is 112261057. The reversal of 112261044 is 440162211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 112261044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112261043) 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, 48342 + ... + 50610.

Almost surely, 2112261044 is an apocalyptic number.

112261044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112261044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162713600).

112261044 is an abundant number, since it is smaller than the sum of its proper divisors (213166156).

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

112261044 is a wasteful number, since it uses less digits than its factorization.

112261044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 112261044 is about 10595.3312359737. The cubic root of 112261044 is about 482.4026581979.

The spelling of 112261044 in words is "one hundred twelve million, two hundred sixty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 1178 1302 1596 1767 2269 2356 2604 3534 4123 4538 6807 7068 8246 9076 12369 13614 15883 16492 24738 27228 31766 43111 47649 49476 63532 70339 86222 95298 129333 140678 172444 190596 211017 258666 281356 301777 422034 492373 517332 603554 844068 905331 984746 1207108 1336441 1477119 1810662 1969492 2672882 2954238 3621324 4009323 5345764 5908476 8018646 9355087 16037292 18710174 28065261 37420348 56130522 112261044