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66077136 = 24321924151
BaseRepresentation
bin1111110000010…
…0000111010000
311121100001210100
43330010013100
5113403432021
610320132400
71431434466
oct374040720
9147301710
1066077136
1134331804
121a167100
13108c70c8
148ac0836
155c03626
hex3f041d0

66077136 has 60 divisors (see below), whose sum is σ = 194665120. Its totient is φ = 20865600.

The previous prime is 66077131. The next prime is 66077161. The reversal of 66077136 is 63177066.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66077136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66077131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9340 + ... + 14811.

Almost surely, 266077136 is an apocalyptic number.

It is an amenable number.

66077136 is an abundant number, since it is smaller than the sum of its proper divisors (128587984).

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

66077136 is a wasteful number, since it uses less digits than its factorization.

66077136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24184 (or 24175 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 66077136 is about 8128.7844109682. The cubic root of 66077136 is about 404.2813776827.

The spelling of 66077136 in words is "sixty-six million, seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 24151 48302 72453 96604 144906 193208 217359 289812 386416 434718 458869 579624 869436 917738 1159248 1376607 1738872 1835476 2753214 3477744 3670952 4129821 5506428 7341904 8259642 11012856 16519284 22025712 33038568 66077136