[go: up one dir, main page]

Search a number
-
+
77436020 = 225171911987
BaseRepresentation
bin1001001110110…
…01010001110100
312101201011020202
410213121101310
5124310423040
611403420032
71630123664
oct447312164
9171634222
1077436020
113a78a912
1221b24618
131307333c
14a3da1a4
156be9015
hex49d9474

77436020 has 48 divisors (see below), whose sum is σ = 181258560. Its totient is φ = 27615744.

The previous prime is 77436019. The next prime is 77436067. The reversal of 77436020 is 2063477.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (3776220).

Almost surely, 277436020 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 77436020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90629280).

77436020 is an abundant number, since it is smaller than the sum of its proper divisors (103822540).

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

77436020 is a wasteful number, since it uses less digits than its factorization.

77436020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 77436020 is about 8799.7738607307. The cubic root of 77436020 is about 426.2335924175.

Adding to 77436020 its reverse (2063477), we get a palindrome (79499497).

The spelling of 77436020 in words is "seventy-seven million, four hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 6460 11987 23974 47948 59935 119870 203779 227753 239740 407558 455506 815116 911012 1018895 1138765 2037790 2277530 3871801 4075580 4555060 7743602 15487204 19359005 38718010 77436020