Search a number
-
+
112074480 = 24325737601
BaseRepresentation
bin1101010111000…
…01111011110000
321210212222021200
412223201323300
5212142340410
615042051200
72530421520
oct653417360
9253788250
10112074480
1158299241
1231649b00
131a2b067b
1410c55680
159c8c3c0
hex6ae1ef0

112074480 has 240 divisors, whose sum is σ = 442513344. Its totient is φ = 24883200.

The previous prime is 112074463. The next prime is 112074481. The reversal of 112074480 is 84470211.

112074480 is a `hidden beast` number, since 11 + 207 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112074481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186180 + ... + 186780.

Almost surely, 2112074480 is an apocalyptic number.

112074480 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 112074480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221256672).

112074480 is an abundant number, since it is smaller than the sum of its proper divisors (330438864).

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

112074480 is a wasteful number, since it uses less digits than its factorization.

112074480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 112074480 is about 10586.5235086878. The cubic root of 112074480 is about 482.1352787992.

The spelling of 112074480 in words is "one hundred twelve million, seventy-four thousand, four hundred eighty".