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66120256 = 2653101193
BaseRepresentation
bin1111110000111…
…0101001000000
311121102020221101
43330032221000
5113411322011
610321104144
71432004266
oct374165100
9147366841
1066120256
1134361144
121a188054
1310910917
148ad2436
155c112c1
hex3f0ea40

66120256 has 56 divisors (see below), whose sum is σ = 135706104. Its totient is φ = 31948800.

The previous prime is 66120253. The next prime is 66120269. The reversal of 66120256 is 65202166.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 40960000 = 5016^2 + 6400^2 .

It is not an unprimeable number, because it can be changed into a prime (66120251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342496 + ... + 342688.

Almost surely, 266120256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67853052).

66120256 is an abundant number, since it is smaller than the sum of its proper divisors (69585848).

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

66120256 is a wasteful number, since it uses less digits than its factorization.

66120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 66120256 is about 8131.4362814942. The cubic root of 66120256 is about 404.3692992817.

The spelling of 66120256 in words is "sixty-six million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 101 106 193 202 212 386 404 424 772 808 848 1544 1616 1696 3088 3232 3392 5353 6176 6464 10229 10706 12352 19493 20458 21412 38986 40916 42824 77972 81832 85648 155944 163664 171296 311888 327328 342592 623776 654656 1033129 1247552 2066258 4132516 8265032 16530064 33060128 66120256