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66534336 = 26321110501
BaseRepresentation
bin1111110111001…
…1101111000000
311122012021221200
43331303233000
5114013044321
610334021200
71435350441
oct375635700
9148167850
1066534336
1134614260
121a347800
1310a2723b
148b9d2c8
155c93d26
hex3f73bc0

66534336 has 84 divisors (see below), whose sum is σ = 208065624. Its totient is φ = 20160000.

The previous prime is 66534301. The next prime is 66534341. The reversal of 66534336 is 63343566.

It is a happy number.

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 66534336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1086 + ... + 11586.

Almost surely, 266534336 is an apocalyptic number.

66534336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104032812).

66534336 is an abundant number, since it is smaller than the sum of its proper divisors (141531288).

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

66534336 is a wasteful number, since it uses less digits than its factorization.

66534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530 (or 10517 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 66534336 is about 8156.8582187016. The cubic root of 66534336 is about 405.2116680474.

The spelling of 66534336 in words is "sixty-six million, five hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 10501 21002 31503 42004 63006 84008 94509 115511 126012 168016 189018 231022 252024 336032 346533 378036 462044 504048 672064 693066 756072 924088 1008096 1039599 1386132 1512144 1848176 2016192 2079198 2772264 3024288 3696352 4158396 5544528 6048576 7392704 8316792 11089056 16633584 22178112 33267168 66534336