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114070680 = 233451719109
BaseRepresentation
bin1101100110010…
…01010010011000
321221122101120000
412303021102120
5213200230210
615152533000
72553404403
oct663112230
9257571500
10114070680
1159431a99
1232251160
131a82c159
1411214d3a
15a033ac0
hex6cc9498

114070680 has 320 divisors, whose sum is σ = 431244000. Its totient is φ = 26873856.

The previous prime is 114070679. The next prime is 114070687. The reversal of 114070680 is 86070411.

It is a happy number.

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 (114070687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1046466 + ... + 1046574.

Almost surely, 2114070680 is an apocalyptic number.

114070680 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 114070680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215622000).

114070680 is an abundant number, since it is smaller than the sum of its proper divisors (317173320).

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

114070680 is a wasteful number, since it uses less digits than its factorization.

114070680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114070680 is about 10680.3876334148. The cubic root of 114070680 is about 484.9809465714.

The spelling of 114070680 in words is "one hundred fourteen million, seventy thousand, six hundred eighty".