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112369920 = 2835132251
BaseRepresentation
bin1101011001010…
…10000100000000
321211102222112220
412230222010000
5212231314140
615052251040
72533062045
oct654520400
9254388486
10112369920
1158480203
1231770a80
131a384ca0
1410cd11cc
159ce9bd0
hex6b2a100

112369920 has 144 divisors (see below), whose sum is σ = 386659392. Its totient is φ = 27648000.

The previous prime is 112369919. The next prime is 112369937. The reversal of 112369920 is 29963211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48795 + ... + 51045.

Almost surely, 2112369920 is an apocalyptic number.

112369920 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 112369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193329696).

112369920 is an abundant number, since it is smaller than the sum of its proper divisors (274289472).

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

112369920 is a wasteful number, since it uses less digits than its factorization.

112369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 112369920 is about 10600.4679142008. The cubic root of 112369920 is about 482.5585600128.

The spelling of 112369920 in words is "one hundred twelve million, three hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2251 2496 3120 3328 3840 4160 4502 4992 6240 6753 8320 9004 9984 11255 12480 13506 16640 18008 22510 24960 27012 29263 33765 36016 45020 49920 54024 58526 67530 72032 87789 90040 108048 117052 135060 144064 146315 175578 180080 216096 234104 270120 288128 292630 351156 360160 432192 438945 468208 540240 576256 585260 702312 720320 864384 877890 936416 1080480 1170520 1404624 1440640 1728768 1755780 1872832 2160960 2341040 2809248 2881280 3511560 3745664 4321920 4682080 5618496 7023120 7491328 8643840 9364160 11236992 14046240 18728320 22473984 28092480 37456640 56184960 112369920