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102383424 = 263211213113
BaseRepresentation
bin1100001101000…
…11111101000000
321010122121122200
412012203331000
5202202232144
614054233200
72352146643
oct606437500
9233577580
10102383424
115287a200
122a355800
1318299610
14d851a5a
158ec5c69
hex61a3f40

102383424 has 252 divisors, whose sum is σ = 350454468. Its totient is φ = 28385280.

The previous prime is 102383423. The next prime is 102383429. The reversal of 102383424 is 424383201.

102383424 is a `hidden beast` number, since 1 + 0 + 238 + 3 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 95413824 = 2640^2 + 9768^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102383423) 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, 905992 + ... + 906104.

Almost surely, 2102383424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102383424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175227234).

102383424 is an abundant number, since it is smaller than the sum of its proper divisors (248071044).

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

102383424 is a wasteful number, since it uses less digits than its factorization.

102383424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 102383424 is about 10118.4694494770. The cubic root of 102383424 is about 467.8175927320.

The spelling of 102383424 in words is "one hundred two million, three hundred eighty-three thousand, four hundred twenty-four".