Search a number
-
+
78100780 = 225311031223
BaseRepresentation
bin1001010011110…
…11100100101100
312102221221010111
410221323210230
5124443211110
611425545404
71635563032
oct451734454
9172857114
1078100780
11400a42aa
12221a5264
1313246aa4
14a530552
156ccae8a
hex4a7b92c

78100780 has 48 divisors (see below), whose sum is σ = 171085824. Its totient is φ = 29914560.

The previous prime is 78100769. The next prime is 78100783. The reversal of 78100780 is 8700187.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (78100783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63249 + ... + 64471.

It is an arithmetic number, because the mean of its divisors is an integer number (3564288).

Almost surely, 278100780 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 78100780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85542912).

78100780 is an abundant number, since it is smaller than the sum of its proper divisors (92985044).

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

78100780 is a wasteful number, since it uses less digits than its factorization.

78100780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 31.

The square root of 78100780 is about 8837.4645685287. The cubic root of 78100780 is about 427.4498054446.

The spelling of 78100780 in words is "seventy-eight million, one hundred thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 103 124 155 206 310 412 515 620 1030 1223 2060 2446 3193 4892 6115 6386 12230 12772 15965 24460 31930 37913 63860 75826 125969 151652 189565 251938 379130 503876 629845 758260 1259690 2519380 3905039 7810078 15620156 19525195 39050390 78100780