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112674240 = 26375723
BaseRepresentation
bin1101011011101…
…00010111000000
321212000110000000
412231310113000
5212321033430
615103000000
72535500220
oct655642700
9255013000
10112674240
1158668908
1231899000
131a460663
1410d70080
159d59e60
hex6b745c0

112674240 has 448 divisors, whose sum is σ = 479877120. Its totient is φ = 24634368.

The previous prime is 112674227. The next prime is 112674241. The reversal of 112674240 is 42476211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112674241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4898869 + ... + 4898891.

Almost surely, 2112674240 is an apocalyptic number.

112674240 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 112674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239938560).

112674240 is an abundant number, since it is smaller than the sum of its proper divisors (367202880).

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

112674240 is an frugal number, since it uses more digits than its factorization.

112674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 112674240 is about 10614.8122922641. The cubic root of 112674240 is about 482.9937887400.

The spelling of 112674240 in words is "one hundred twelve million, six hundred seventy-four thousand, two hundred forty".