Search a number
-
+
1061528328 = 2334719109113
BaseRepresentation
bin111111010001011…
…010001100001000
32201222110020010000
4333101122030020
54133222401303
6253200123000
735206561530
oct7721321410
92658406100
101061528328
114a5228a43
12257606460
1313bc00993
14a0da64c0
15632d6da3
hex3f45a308

1061528328 has 320 divisors, whose sum is σ = 3641616000. Its totient is φ = 282175488.

The previous prime is 1061528291. The next prime is 1061528341. The reversal of 1061528328 is 8238251601.

It is a happy number.

1061528328 is a `hidden beast` number, since 1 + 0 + 615 + 2 + 8 + 32 + 8 = 666.

It is a super-2 number, since 2×10615283282 = 2253684782292951168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1061528292 and 1061528301.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9394000 + ... + 9394112.

It is an arithmetic number, because the mean of its divisors is an integer number (11380050).

Almost surely, 21061528328 is an apocalyptic number.

1061528328 is a gapful number since it is divisible by the number (18) 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 1061528328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820808000).

1061528328 is an abundant number, since it is smaller than the sum of its proper divisors (2580087672).

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

1061528328 is a wasteful number, since it uses less digits than its factorization.

1061528328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1061528328 is about 32581.1038487035. The cubic root of 1061528328 is about 1020.1026194332.

Adding to 1061528328 its reverse (8238251601), we get a palindrome (9299779929).

The spelling of 1061528328 in words is "one billion, sixty-one million, five hundred twenty-eight thousand, three hundred twenty-eight".