Search a number
-
+
76866150 = 23524710903
BaseRepresentation
bin1001001010011…
…10001001100110
312100122012112110
410211032021212
5124134204100
611343301450
71622231364
oct445161146
9170565473
1076866150
113a430749
12218aa886
1312c03b3a
14a2cc634
156b35250
hex494e266

76866150 has 48 divisors (see below), whose sum is σ = 194701824. Its totient is φ = 20059680.

The previous prime is 76866137. The next prime is 76866157. The reversal of 76866150 is 5166867.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76866099 and 76866108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76866157) 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, 1599 + ... + 12501.

It is an arithmetic number, because the mean of its divisors is an integer number (4056288).

Almost surely, 276866150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76866150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97350912).

76866150 is an abundant number, since it is smaller than the sum of its proper divisors (117835674).

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

76866150 is a wasteful number, since it uses less digits than its factorization.

76866150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10965 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 76866150 is about 8767.3342584847. The cubic root of 76866150 is about 425.1854323461.

The spelling of 76866150 in words is "seventy-six million, eight hundred sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 7050 10903 21806 32709 54515 65418 109030 163545 272575 327090 512441 545150 817725 1024882 1537323 1635450 2562205 3074646 5124410 7686615 12811025 15373230 25622050 38433075 76866150