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66088530 = 23251814057
BaseRepresentation
bin1111110000011…
…0111001010010
311121100122102100
43330012321102
5113404313110
610320301230
71431512634
oct374067122
9147318370
1066088530
113433a322
121a171816
13108cc351
148ac4a54
155c06bc0
hex3f06e52

66088530 has 48 divisors (see below), whose sum is σ = 172822104. Its totient is φ = 17521920.

The previous prime is 66088511. The next prime is 66088531. The reversal of 66088530 is 3588066.

It can be written as a sum of positive squares in 4 ways, for example, as 32251041 + 33837489 = 5679^2 + 5817^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66088531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14262 + ... + 18318.

Almost surely, 266088530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66088530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86411052).

66088530 is an abundant number, since it is smaller than the sum of its proper divisors (106733574).

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

66088530 is a wasteful number, since it uses less digits than its factorization.

66088530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66088530 is about 8129.4852235551. The cubic root of 66088530 is about 404.3046137446.

The spelling of 66088530 in words is "sixty-six million, eighty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 4057 5430 8114 8145 12171 16290 20285 24342 36513 40570 60855 73026 121710 182565 365130 734317 1468634 2202951 3671585 4405902 6608853 7343170 11014755 13217706 22029510 33044265 66088530