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112324080 = 243511157271
BaseRepresentation
bin1101011000111…
…10110111110000
321211100122200010
412230132313300
5212223332310
615051254520
72532511311
oct654366760
9254318603
10112324080
1158449820
123174a440
131a36a16b
1410cbc608
159cdb320
hex6b1edf0

112324080 has 160 divisors (see below), whose sum is σ = 383689728. Its totient is φ = 26956800.

The previous prime is 112324073. The next prime is 112324099. The reversal of 112324080 is 80423211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414345 + ... + 414615.

Almost surely, 2112324080 is an apocalyptic number.

112324080 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 112324080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191844864).

112324080 is an abundant number, since it is smaller than the sum of its proper divisors (271365648).

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

112324080 is a wasteful number, since it uses less digits than its factorization.

112324080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

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

The square root of 112324080 is about 10598.3055249412. The cubic root of 112324080 is about 482.4929330401.

Adding to 112324080 its reverse (80423211), we get a palindrome (192747291).

The spelling of 112324080 in words is "one hundred twelve million, three hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 157 165 176 220 240 264 271 314 330 440 471 528 542 628 660 785 813 880 942 1084 1256 1320 1355 1570 1626 1727 1884 2168 2355 2512 2640 2710 2981 3140 3252 3454 3768 4065 4336 4710 5181 5420 5962 6280 6504 6908 7536 8130 8635 8943 9420 10362 10840 11924 12560 13008 13816 14905 16260 17270 17886 18840 20724 21680 23848 25905 27632 29810 32520 34540 35772 37680 41448 42547 44715 47696 51810 59620 65040 69080 71544 82896 85094 89430 103620 119240 127641 138160 143088 170188 178860 207240 212735 238480 255282 340376 357720 414480 425470 468017 510564 638205 680752 715440 850940 936034 1021128 1276410 1404051 1701880 1872068 2042256 2340085 2552820 2808102 3403760 3744136 4680170 5105640 5616204 7020255 7488272 9360340 10211280 11232408 14040510 18720680 22464816 28081020 37441360 56162040 112324080