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114120630 = 23351324161
BaseRepresentation
bin1101100110101…
…01011110110110
321221201221002000
412303111132312
5213203330010
615154000130
72554003131
oct663253666
9257657060
10114120630
1159466578
1232276046
131a848b00
1411229218
15a0437c0
hex6cd57b6

114120630 has 192 divisors, whose sum is σ = 343103040. Its totient is φ = 26956800.

The previous prime is 114120623. The next prime is 114120637. The reversal of 114120630 is 36021411.

It is a happy number.

114120630 is a `hidden beast` number, since 1 + 14 + 1 + 20 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (114120623) and next prime (114120637).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114120637) 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 95 ways as a sum of consecutive naturals, for example, 1870800 + ... + 1870860.

It is an arithmetic number, because the mean of its divisors is an integer number (1786995).

Almost surely, 2114120630 is an apocalyptic number.

114120630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114120630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171551520).

114120630 is an abundant number, since it is smaller than the sum of its proper divisors (228982410).

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

114120630 is a wasteful number, since it uses less digits than its factorization.

114120630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114120630 is about 10682.7257757559. The cubic root of 114120630 is about 485.0517250959.

The spelling of 114120630 in words is "one hundred fourteen million, one hundred twenty thousand, six hundred thirty".