Search a number
-
+
2507796 = 223269661
BaseRepresentation
bin1001100100010000010100
311201102001100
421210100110
51120222141
6125430100
730213234
oct11442024
94642040
102507796
111463165
12a0b330
1369a605
14493cc4
153480b6
hex264414

2507796 has 18 divisors (see below), whose sum is σ = 6339242. Its totient is φ = 835920.

The previous prime is 2507777. The next prime is 2507821. The reversal of 2507796 is 6977052.

It can be written as a sum of positive squares in only one way, i.e., 1527696 + 980100 = 1236^2 + 990^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 69661 = 2507796 / (2 + 5 + 0 + 7 + 7 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 2507796.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34795 + ... + 34866.

22507796 is an apocalyptic number.

It is an amenable number.

2507796 is an abundant number, since it is smaller than the sum of its proper divisors (3831446).

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

2507796 is a wasteful number, since it uses less digits than its factorization.

2507796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69671 (or 69666 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2507796 is about 1583.6022227820. The cubic root of 2507796 is about 135.8618117697.

The spelling of 2507796 in words is "two million, five hundred seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 69661 139322 208983 278644 417966 626949 835932 1253898 2507796