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112603140 = 223251348121
BaseRepresentation
bin1101011011000…
…11000000000100
321211212211110200
412231203000010
5212311300030
615101250500
72535053016
oct655430004
9254784420
10112603140
115861a451
1231863a30
131a4371a0
1410d521b6
159d43d60
hex6b63004

112603140 has 72 divisors (see below), whose sum is σ = 367844568. Its totient is φ = 27717120.

The previous prime is 112603091. The next prime is 112603151. The reversal of 112603140 is 41306211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6471936 + 106131204 = 2544^2 + 10302^2 .

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 23 ways as a sum of consecutive naturals, for example, 21721 + ... + 26400.

Almost surely, 2112603140 is an apocalyptic number.

112603140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112603140 is an abundant number, since it is smaller than the sum of its proper divisors (255241428).

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

112603140 is a wasteful number, since it uses less digits than its factorization.

112603140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48149 (or 48144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 112603140 is about 10611.4626701506. The cubic root of 112603140 is about 482.8921740195.

Adding to 112603140 its reverse (41306211), we get a palindrome (153909351).

It can be divided in two parts, 11260 and 3140, that added together give a square (14400 = 1202).

The spelling of 112603140 in words is "one hundred twelve million, six hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 48121 96242 144363 192484 240605 288726 433089 481210 577452 625573 721815 866178 962420 1251146 1443630 1732356 1876719 2165445 2502292 2887260 3127865 3753438 4330890 5630157 6255730 7506876 8661780 9383595 11260314 12511460 18767190 22520628 28150785 37534380 56301570 112603140