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114012180 = 22325633401
BaseRepresentation
bin1101100101110…
…11000000010100
321221112102022100
412302323000110
5213141342210
615151402100
72553042012
oct662730024
9257472270
10114012180
11593a2047
1232223330
131a80b639
14111db8b2
15a0215c0
hex6cbb014

114012180 has 36 divisors (see below), whose sum is σ = 345837492. Its totient is φ = 30403200.

The previous prime is 114012167. The next prime is 114012191. The reversal of 114012180 is 81210411.

It can be written as a sum of positive squares in 2 ways, for example, as 19766916 + 94245264 = 4446^2 + 9708^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316521 + ... + 316880.

It is an arithmetic number, because the mean of its divisors is an integer number (9606597).

Almost surely, 2114012180 is an apocalyptic number.

114012180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114012180 is an abundant number, since it is smaller than the sum of its proper divisors (231825312).

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

114012180 is a wasteful number, since it uses less digits than its factorization.

114012180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633416 (or 633411 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 114012180 is about 10677.6486175562. The cubic root of 114012180 is about 484.8980265294.

Adding to 114012180 its reverse (81210411), we get a palindrome (195222591).

The spelling of 114012180 in words is "one hundred fourteen million, twelve thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 633401 1266802 1900203 2533604 3167005 3800406 5700609 6334010 7600812 9501015 11401218 12668020 19002030 22802436 28503045 38004060 57006090 114012180