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112444120 = 23517271137
BaseRepresentation
bin1101011001111…
…00001011011000
321211120202100001
412230330023120
5212241202440
615054022344
72533521265
oct654741330
9254522301
10112444120
1158520a28
12317a79b4
131a3ac9a9
1410d1026c
159d11b9a
hex6b3c2d8

112444120 has 96 divisors (see below), whose sum is σ = 274531680. Its totient is φ = 41431040.

The previous prime is 112444091. The next prime is 112444127. The reversal of 112444120 is 21444211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112444127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820692 + ... + 820828.

It is an arithmetic number, because the mean of its divisors is an integer number (2859705).

Almost surely, 2112444120 is an apocalyptic number.

112444120 is a gapful number since it is divisible by the number (10) 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 112444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137265840).

112444120 is an abundant number, since it is smaller than the sum of its proper divisors (162087560).

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

112444120 is a wasteful number, since it uses less digits than its factorization.

112444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 112444120 is about 10603.9671821446. The cubic root of 112444120 is about 482.6647508479.

Adding to 112444120 its reverse (21444211), we get a palindrome (133888331).

Subtracting from 112444120 its reverse (21444211), we obtain a palindrome (90999909).

The spelling of 112444120 in words is "one hundred twelve million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 137 142 170 274 284 289 340 355 548 568 578 680 685 710 1096 1156 1207 1370 1420 1445 2312 2329 2414 2740 2840 2890 4658 4828 5480 5780 6035 9316 9656 9727 11560 11645 12070 18632 19454 20519 23290 24140 38908 39593 41038 46580 48280 48635 77816 79186 82076 93160 97270 102595 158372 164152 165359 194540 197965 205190 316744 330718 389080 395930 410380 661436 791860 820760 826795 1322872 1583720 1653590 2811103 3307180 5622206 6614360 11244412 14055515 22488824 28111030 56222060 112444120