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102030240 = 25351383197
BaseRepresentation
bin1100001010011…
…01101110100000
321002222200011210
412011031232200
5202104431430
614042510120
72346146154
oct605155640
9232880153
10102030240
1152658914
122a205340
13181a4930
14d79d064
158e562b0
hex614dba0

102030240 has 192 divisors, whose sum is σ = 352066176. Its totient is φ = 24686592.

The previous prime is 102030239. The next prime is 102030259. The reversal of 102030240 is 42030201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517822 + ... + 518018.

It is an arithmetic number, because the mean of its divisors is an integer number (1833678).

Almost surely, 2102030240 is an apocalyptic number.

102030240 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 102030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176033088).

102030240 is an abundant number, since it is smaller than the sum of its proper divisors (250035936).

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

102030240 is a wasteful number, since it uses less digits than its factorization.

102030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102030240 is about 10101.0019305017. The cubic root of 102030240 is about 467.2790418748.

Adding to 102030240 its reverse (42030201), we get a palindrome (144060441).

The spelling of 102030240 in words is "one hundred two million, thirty thousand, two hundred forty".