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3564132030 = 238554323
BaseRepresentation
bin1101010001110000…
…0101011010111110
3100012101112200000000
43110130011122332
524244404211110
61345355415130
7154215423324
oct32434053276
910171480000
103564132030
111569950168
128357544a6
1344a532284
1425b4d3d14
1515cd791c0
hexd47056be

3564132030 has 72 divisors (see below), whose sum is σ = 9622844712. Its totient is φ = 950417712.

The previous prime is 3564132029. The next prime is 3564132073. The reversal of 3564132030 is 302314653.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3564131985 and 3564132003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38449 + ... + 92771.

It is an arithmetic number, because the mean of its divisors is an integer number (133650621).

Almost surely, 23564132030 is an apocalyptic number.

3564132030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811422356).

3564132030 is an abundant number, since it is smaller than the sum of its proper divisors (6058712682).

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

3564132030 is an frugal number, since it uses more digits than its factorization.

3564132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54354 (or 54333 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3564132030 is about 59700.3520090125. The cubic root of 3564132030 is about 1527.5118728892.

Adding to 3564132030 its reverse (302314653), we get a palindrome (3866446683).

The spelling of 3564132030 in words is "three billion, five hundred sixty-four million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2187 2430 3645 4374 6561 7290 10935 13122 21870 32805 54323 65610 108646 162969 271615 325938 488907 543230 814845 977814 1466721 1629690 2444535 2933442 4400163 4889070 7333605 8800326 13200489 14667210 22000815 26400978 39601467 44001630 66002445 79202934 118804401 132004890 198007335 237608802 356413203 396014670 594022005 712826406 1188044010 1782066015 3564132030