Search a number
-
+
1640574774 = 232239740853
BaseRepresentation
bin110000111001001…
…0010111100110110
311020100000211111200
41201302102330312
511324441343044
6430443113330
755440440556
oct14162227466
94210024450
101640574774
11772075123
12399512846
13201b71107
14117c57166
1599066369
hex61c92f36

1640574774 has 48 divisors (see below), whose sum is σ = 3747455712. Its totient is φ = 517676544.

The previous prime is 1640574739. The next prime is 1640574787. The reversal of 1640574774 is 4774750461.

1640574774 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 574 + 7 + 74 = 666.

1640574774 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19732 + ... + 60584.

It is an arithmetic number, because the mean of its divisors is an integer number (78071994).

Almost surely, 21640574774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640574774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873727856).

1640574774 is an abundant number, since it is smaller than the sum of its proper divisors (2106880938).

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

1640574774 is a wasteful number, since it uses less digits than its factorization.

1640574774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40981 (or 40978 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 1640574774 is about 40504.0093570995. The cubic root of 1640574774 is about 1179.4114593552.

The spelling of 1640574774 in words is "one billion, six hundred forty million, five hundred seventy-four thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 69 97 138 194 207 291 414 582 873 1746 2231 4462 6693 13386 20079 40158 40853 81706 122559 245118 367677 735354 939619 1879238 2818857 3962741 5637714 7925482 8456571 11888223 16913142 23776446 35664669 71329338 91143043 182286086 273429129 546858258 820287387 1640574774