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1530439920 = 243451032293
BaseRepresentation
bin101101100111000…
…1010100011110000
310221122210101220000
41123032022203300
511113243034140
6411510350000
752632344652
oct13316124360
93848711800
101530439920
11715991189
1236865b300
131b50bc569
141073886d2
158e55da30
hex5b38a8f0

1530439920 has 200 divisors, whose sum is σ = 5369391456. Its totient is φ = 403978752.

The previous prime is 1530439913. The next prime is 1530439921. The reversal of 1530439920 is 299340351.

It is a happy number.

1530439920 is a `hidden beast` number, since 1 + 530 + 4 + 39 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530439921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 666294 + ... + 668586.

Almost surely, 21530439920 is an apocalyptic number.

1530439920 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 1530439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684695728).

1530439920 is an abundant number, since it is smaller than the sum of its proper divisors (3838951536).

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

1530439920 is a wasteful number, since it uses less digits than its factorization.

1530439920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1530439920 is about 39120.8374143499. The cubic root of 1530439920 is about 1152.4057815295.

The spelling of 1530439920 in words is "one billion, five hundred thirty million, four hundred thirty-nine thousand, nine hundred twenty".