Search a number
-
+
259144074 = 23276730697
BaseRepresentation
bin11110111001000…
…11100110001010
3200001121212211200
433130203212022
51012320102244
641414205030
76264455040
oct1734434612
9601555750
10259144074
11123309862
1272953776
13418c47b7
14265ba390
1517b3d669
hexf72398a

259144074 has 48 divisors (see below), whose sum is σ = 651288768. Its totient is φ = 72933696.

The previous prime is 259144051. The next prime is 259144079. The reversal of 259144074 is 470441952.

It is a happy number.

259144074 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (259144079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6907 + ... + 23790.

It is an arithmetic number, because the mean of its divisors is an integer number (13568516).

Almost surely, 2259144074 is an apocalyptic number.

259144074 is an abundant number, since it is smaller than the sum of its proper divisors (392144694).

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

259144074 is a wasteful number, since it uses less digits than its factorization.

259144074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30779 (or 30776 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 259144074 is about 16097.9524784986. The cubic root of 259144074 is about 637.5492815420.

It can be divided in two parts, 2591 and 44074, that added together give a triangular number (46665 = T305).

The spelling of 259144074 in words is "two hundred fifty-nine million, one hundred forty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 8442 30697 61394 92091 184182 214879 276273 429758 552546 644637 1289274 1933911 2056699 3867822 4113398 6170097 12340194 14396893 18510291 28793786 37020582 43190679 86381358 129572037 259144074