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66256134 = 23721791259
BaseRepresentation
bin1111110010111…
…1110100000110
311121200011022220
43330233310012
5113430144014
610324033210
71433111400
oct374576406
9147604286
1066256134
113444423a
121a232806
131095a719
148b29b70
155c3b6a9
hex3f2fd06

66256134 has 48 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 18809616.

The previous prime is 66256133. The next prime is 66256171. The reversal of 66256134 is 43165266.

It is a junction number, because it is equal to n+sod(n) for n = 66256095 and 66256104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66256133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51997 + ... + 53255.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 266256134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66256134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

66256134 is an abundant number, since it is smaller than the sum of its proper divisors (88875066).

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

66256134 is a wasteful number, since it uses less digits than its factorization.

66256134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1450 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 66256134 is about 8139.7870979529. The cubic root of 66256134 is about 404.6461045070.

The spelling of 66256134 in words is "sixty-six million, two hundred fifty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 179 294 358 537 1074 1253 1259 2506 2518 3759 3777 7518 7554 8771 8813 17542 17626 26313 26439 52626 52878 61691 123382 185073 225361 370146 450722 676083 1352166 1577527 3155054 4732581 9465162 11042689 22085378 33128067 66256134