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112403040 = 2535376329
BaseRepresentation
bin1101011001100…
…10001001100000
321211111122222120
412230302021200
5212233344130
615053104240
72533260441
oct654621140
9254448876
10112403040
11584a3082
1231788080
131a397099
1410cdd2c8
159d04910
hex6b32260

112403040 has 96 divisors (see below), whose sum is σ = 363696480. Its totient is φ = 29159424.

The previous prime is 112403033. The next prime is 112403129. The reversal of 112403040 is 40304211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14596 + ... + 20924.

It is an arithmetic number, because the mean of its divisors is an integer number (3788505).

Almost surely, 2112403040 is an apocalyptic number.

112403040 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 112403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181848240).

112403040 is an abundant number, since it is smaller than the sum of its proper divisors (251293440).

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

112403040 is a wasteful number, since it uses less digits than its factorization.

112403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 112403040 is about 10602.0299942983. The cubic root of 112403040 is about 482.6059652542.

Adding to 112403040 its reverse (40304211), we get a palindrome (152707251).

The spelling of 112403040 in words is "one hundred twelve million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 6329 8880 12658 17760 18987 25316 31645 37974 50632 63290 75948 94935 101264 126580 151896 189870 202528 234173 253160 303792 379740 468346 506320 607584 702519 759480 936692 1012640 1170865 1405038 1518960 1873384 2341730 2810076 3037920 3512595 3746768 4683460 5620152 7025190 7493536 9366920 11240304 14050380 18733840 22480608 28100760 37467680 56201520 112403040