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112146640 = 24510211373
BaseRepresentation
bin1101010111100…
…11100011010000
321211000122021021
412223303203100
5212202143030
615043405224
72531142064
oct653634320
9254018237
10112146640
1158338481
1231683814
131a307478
1410c73aa4
159ca397a
hex6af38d0

112146640 has 40 divisors (see below), whose sum is σ = 261186408. Its totient is φ = 44782080.

The previous prime is 112146599. The next prime is 112146641. The reversal of 112146640 is 46641211.

It can be written as a sum of positive squares in 4 ways, for example, as 46730896 + 65415744 = 6836^2 + 8088^2 .

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

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112146641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80994 + ... + 82366.

Almost surely, 2112146640 is an apocalyptic number.

112146640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112146640 is an abundant number, since it is smaller than the sum of its proper divisors (149039768).

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

112146640 is a wasteful number, since it uses less digits than its factorization.

112146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 112146640 is about 10589.9310668200. The cubic root of 112146640 is about 482.2387320789.

Adding to 112146640 its reverse (46641211), we get a palindrome (158787851).

The spelling of 112146640 in words is "one hundred twelve million, one hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1021 1373 2042 2746 4084 5105 5492 6865 8168 10210 10984 13730 16336 20420 21968 27460 40840 54920 81680 109840 1401833 2803666 5607332 7009165 11214664 14018330 22429328 28036660 56073320 112146640