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112603136 = 21237743
BaseRepresentation
bin1101011011000…
…11000000000000
321211212211110112
412231203000000
5212311300021
615101250452
72535053012
oct655430000
9254784415
10112603136
115861a448
1231863a28
131a437199
1410d521b2
159d43d5b
hex6b63000

112603136 has 52 divisors (see below), whose sum is σ = 231575952. Its totient is φ = 54706176.

The previous prime is 112603091. The next prime is 112603151. The reversal of 112603136 is 631306211.

It is a happy number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151181 + ... + 151923.

Almost surely, 2112603136 is an apocalyptic number.

112603136 is a gapful number since it is divisible by the number (16) 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 112603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115787976).

112603136 is an abundant number, since it is smaller than the sum of its proper divisors (118972816).

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

112603136 is an frugal number, since it uses more digits than its factorization.

112603136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 112603136 is about 10611.4624816752. The cubic root of 112603136 is about 482.8921683016.

Adding to 112603136 its reverse (631306211), we get a palindrome (743909347).

The spelling of 112603136 in words is "one hundred twelve million, six hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 743 1024 1184 1486 2048 2368 2972 4096 4736 5944 9472 11888 18944 23776 27491 37888 47552 54982 75776 95104 109964 151552 190208 219928 380416 439856 760832 879712 1521664 1759424 3043328 3518848 7037696 14075392 28150784 56301568 112603136