Search a number
-
+
112971420 = 22325627619
BaseRepresentation
bin1101011101111…
…00111010011100
321212120112122200
412232330322130
5212410041140
615113211500
72541145512
oct656747234
9255515580
10112971420
1158851111
1231a00b90
131a5359c3
141100a4b2
159db8030
hex6bbce9c

112971420 has 36 divisors (see below), whose sum is σ = 342680520. Its totient is φ = 30125664.

The previous prime is 112971413. The next prime is 112971421. The reversal of 112971420 is 24179211.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112971421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313630 + ... + 313989.

Almost surely, 2112971420 is an apocalyptic number.

112971420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112971420 is an abundant number, since it is smaller than the sum of its proper divisors (229709100).

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

112971420 is a wasteful number, since it uses less digits than its factorization.

112971420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627634 (or 627629 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 112971420 is about 10628.8014376034. The cubic root of 112971420 is about 483.4180504164.

The spelling of 112971420 in words is "one hundred twelve million, nine hundred seventy-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 627619 1255238 1882857 2510476 3138095 3765714 5648571 6276190 7531428 9414285 11297142 12552380 18828570 22594284 28242855 37657140 56485710 112971420