Search a number
-
+
77115108 = 22371376701
BaseRepresentation
bin1001001100010…
…10111011100100
312101002212001010
410212022323210
5124220140413
611352502220
71624316250
oct446127344
9171085033
1077115108
113a5907a4
12219aa970
1312c90255
14a355260
156b83dc3
hex498aee4

77115108 has 48 divisors (see below), whose sum is σ = 207172224. Its totient is φ = 21868800.

The previous prime is 77115061. The next prime is 77115121. The reversal of 77115108 is 80151177.

It is a happy 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, 8158 + ... + 14858.

It is an arithmetic number, because the mean of its divisors is an integer number (4316088).

Almost surely, 277115108 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 77115108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103586112).

77115108 is an abundant number, since it is smaller than the sum of its proper divisors (130057116).

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

77115108 is a wasteful number, since it uses less digits than its factorization.

77115108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 30.

The square root of 77115108 is about 8781.5208250052. The cubic root of 77115108 is about 425.6439750597.

The spelling of 77115108 in words is "seventy-seven million, one hundred fifteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3836 5754 6701 11508 13402 20103 26804 40206 46907 80412 93814 140721 187628 281442 562884 918037 1836074 2754111 3672148 5508222 6426259 11016444 12852518 19278777 25705036 38557554 77115108