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66420162 = 235197193
BaseRepresentation
bin1111110101011…
…1110111000010
311121222111100000
43331113313002
5114000421122
610331340430
71434363534
oct375276702
9147874300
1066420162
11345464a6
121a2b1716
13109b7293
148b6d854
155c700ac
hex3f57dc2

66420162 has 48 divisors (see below), whose sum is σ = 157116960. Its totient is φ = 20971872.

The previous prime is 66420161. The next prime is 66420163. The reversal of 66420162 is 26102466.

It is a happy number.

66420162 is a `hidden beast` number, since 6 + 642 + 0 + 16 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66420161) and next prime (66420163).

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

It is not an unprimeable number, because it can be changed into a prime (66420161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5638 + ... + 12830.

It is an arithmetic number, because the mean of its divisors is an integer number (3273270).

Almost surely, 266420162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66420162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78558480).

66420162 is an abundant number, since it is smaller than the sum of its proper divisors (90696798).

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

66420162 is a wasteful number, since it uses less digits than its factorization.

66420162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66420162 is about 8149.8565631550. The cubic root of 66420162 is about 404.9797520741.

The spelling of 66420162 in words is "sixty-six million, four hundred twenty thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1539 3078 4617 7193 9234 14386 21579 43158 64737 129474 136667 194211 273334 388422 410001 582633 820002 1165266 1230003 1747899 2460006 3495798 3690009 7380018 11070027 22140054 33210081 66420162