Search a number
-
+
112415440 = 2454134273
BaseRepresentation
bin1101011001101…
…01001011010000
321211112021222211
412230311023100
5212234243230
615053241504
72533341544
oct654651320
9254467884
10112415440
1158501425
1231793294
131a39c917
1410d03a24
159d0842a
hex6b352d0

112415440 has 40 divisors (see below), whose sum is σ = 267748488. Its totient is φ = 43868160.

The previous prime is 112415437. The next prime is 112415453. The reversal of 112415440 is 44514211.

It can be written as a sum of positive squares in 4 ways, for example, as 8620096 + 103795344 = 2936^2 + 10188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 13857 + ... + 20416.

Almost surely, 2112415440 is an apocalyptic number.

112415440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112415440 is an abundant number, since it is smaller than the sum of its proper divisors (155333048).

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

112415440 is a wasteful number, since it uses less digits than its factorization.

112415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34327 (or 34321 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 112415440 is about 10602.6147718381. The cubic root of 112415440 is about 482.6237111975.

Adding to 112415440 its reverse (44514211), we get a palindrome (156929651).

The spelling of 112415440 in words is "one hundred twelve million, four hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 34273 68546 137092 171365 274184 342730 548368 685460 1370920 1405193 2741840 2810386 5620772 7025965 11241544 14051930 22483088 28103860 56207720 112415440