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112370040 = 233253110069
BaseRepresentation
bin1101011001010…
…10000101111000
321211102222201100
412230222011320
5212231320130
615052251400
72533062306
oct654520570
9254388640
10112370040
1158480302
1231770b60
131a385063
1410cd1276
159ce9c60
hex6b2a178

112370040 has 96 divisors (see below), whose sum is σ = 377020800. Its totient is φ = 28995840.

The previous prime is 112370039. The next prime is 112370057. The reversal of 112370040 is 40073211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112369995 and 112370022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6126 + ... + 16194.

It is an arithmetic number, because the mean of its divisors is an integer number (3927300).

Almost surely, 2112370040 is an apocalyptic number.

112370040 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 112370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188510400).

112370040 is an abundant number, since it is smaller than the sum of its proper divisors (264650760).

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

112370040 is a wasteful number, since it uses less digits than its factorization.

112370040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 112370040 is about 10600.4735743268. The cubic root of 112370040 is about 482.5587317877.

The spelling of 112370040 in words is "one hundred twelve million, three hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 10069 11160 20138 30207 40276 50345 60414 80552 90621 100690 120828 151035 181242 201380 241656 302070 312139 362484 402760 453105 604140 624278 724968 906210 936417 1208280 1248556 1560695 1812420 1872834 2497112 2809251 3121390 3624840 3745668 4682085 5618502 6242780 7491336 9364170 11237004 12485560 14046255 18728340 22474008 28092510 37456680 56185020 112370040