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66361032 = 2334102409
BaseRepresentation
bin1111110100100…
…1011011001000
311121212111020000
43331021123020
5113442023112
610330203000
71434026253
oct375113310
9147774200
1066361032
1134506031
121a283460
13109963aa
148b5609a
155c5c7dc
hex3f496c8

66361032 has 40 divisors (see below), whose sum is σ = 185874150. Its totient is φ = 22120128.

The previous prime is 66361007. The next prime is 66361051. The reversal of 66361032 is 23016366.

It can be written as a sum of positive squares in only one way, i.e., 33802596 + 32558436 = 5814^2 + 5706^2 .

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 = 66360987 and 66361005.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 50557 + ... + 51852.

Almost surely, 266361032 is an apocalyptic number.

It is an amenable number.

66361032 is an abundant number, since it is smaller than the sum of its proper divisors (119513118).

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

66361032 is a wasteful number, since it uses less digits than its factorization.

66361032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102427 (or 102414 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 66361032 is about 8146.2280842117. The cubic root of 66361032 is about 404.8595397692.

Adding to 66361032 its reverse (23016366), we get a palindrome (89377398).

The spelling of 66361032 in words is "sixty-six million, three hundred sixty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 102409 204818 307227 409636 614454 819272 921681 1228908 1843362 2457816 2765043 3686724 5530086 7373448 8295129 11060172 16590258 22120344 33180516 66361032