[go: up one dir, main page]

Search a number
-
+
77420142 = 232171132239
BaseRepresentation
bin1001001110101…
…01011001101110
312101200100110200
410213111121232
5124304421032
611403214330
71630026462
oct447253156
9171610420
1077420142
113a779998
1221b173a6
1313069047
14a3d44a2
156be447c
hex49d566e

77420142 has 48 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 24062976.

The previous prime is 77420137. The next prime is 77420143. The reversal of 77420142 is 24102477.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77420143) 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, 33459 + ... + 35697.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 277420142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77420142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

77420142 is an abundant number, since it is smaller than the sum of its proper divisors (101842578).

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

77420142 is a wasteful number, since it uses less digits than its factorization.

77420142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 77420142 is about 8798.8716322038. The cubic root of 77420142 is about 426.2044578295.

The spelling of 77420142 in words is "seventy-seven million, four hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 678 1017 1921 2034 2239 3842 4478 5763 6717 11526 13434 17289 20151 34578 38063 40302 76126 114189 228378 253007 342567 506014 685134 759021 1518042 2277063 4301119 4554126 8602238 12903357 25806714 38710071 77420142