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69114240 = 2732513271
BaseRepresentation
bin1000001111010…
…01100110000000
311211001100220200
410013221212000
5120143123430
610505205200
71466314146
oct407514600
9154040820
1069114240
1136016608
121b190800
131141b600
149271596
156103460
hex41e9980

69114240 has 288 divisors, whose sum is σ = 262070640. Its totient is φ = 16773120.

The previous prime is 69114217. The next prime is 69114247. The reversal of 69114240 is 4241196.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69114247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973405 + ... + 973475.

Almost surely, 269114240 is an apocalyptic number.

69114240 is a gapful number since it is divisible by the number (60) 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 69114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131035320).

69114240 is an abundant number, since it is smaller than the sum of its proper divisors (192956400).

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

69114240 is a wasteful number, since it uses less digits than its factorization.

69114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 69114240 is about 8313.4974589519. The cubic root of 69114240 is about 410.3828270461.

The spelling of 69114240 in words is "sixty-nine million, one hundred fourteen thousand, two hundred forty".