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112401540 = 223351631277
BaseRepresentation
bin1101011001100…
…01110010000100
321211111120221000
412230301302010
5212233322130
615053053300
72533253166
oct654616204
9254446830
10112401540
11584a1a39
1231787230
131a3964b4
1410cdc936
159d04260
hex6b31c84

112401540 has 96 divisors (see below), whose sum is σ = 352114560. Its totient is φ = 29766528.

The previous prime is 112401533. The next prime is 112401551. The reversal of 112401540 is 45104211.

112401540 is a `hidden beast` number, since 1 + 124 + 0 + 1 + 540 = 666.

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

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, 87382 + ... + 88658.

It is an arithmetic number, because the mean of its divisors is an integer number (3667860).

Almost surely, 2112401540 is an apocalyptic number.

112401540 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 112401540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176057280).

112401540 is an abundant number, since it is smaller than the sum of its proper divisors (239713020).

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

112401540 is a wasteful number, since it uses less digits than its factorization.

112401540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112401540 is about 10601.9592528928. The cubic root of 112401540 is about 482.6038184790.

Adding to 112401540 its reverse (45104211), we get a palindrome (157505751).

The spelling of 112401540 in words is "one hundred twelve million, four hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 489 540 652 815 978 1277 1467 1630 1956 2445 2554 2934 3260 3831 4401 4890 5108 5868 6385 7335 7662 8802 9780 11493 12770 14670 15324 17604 19155 22005 22986 25540 29340 34479 38310 44010 45972 57465 68958 76620 88020 114930 137916 172395 208151 229860 344790 416302 624453 689580 832604 1040755 1248906 1873359 2081510 2497812 3122265 3746718 4163020 5620077 6244530 7493436 9366795 11240154 12489060 18733590 22480308 28100385 37467180 56200770 112401540