Search a number
-
+
874388960 = 2554123251
BaseRepresentation
bin110100000111100…
…001110111100000
32020221022120011022
4310013201313200
53242320421320
6222433105012
730445116644
oct6407416740
92227276138
10874388960
1140962a405
122049b8168
1310c1ca323
14841b0c24
1551b6d325
hex341e1de0

874388960 has 72 divisors (see below), whose sum is σ = 2118008088. Its totient is φ = 341120000.

The previous prime is 874388959. The next prime is 874388969. The reversal of 874388960 is 69883478.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874388969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267335 + ... + 270585.

It is an arithmetic number, because the mean of its divisors is an integer number (29416779).

Almost surely, 2874388960 is an apocalyptic number.

874388960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059004044).

874388960 is an abundant number, since it is smaller than the sum of its proper divisors (1243619128).

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

874388960 is a wasteful number, since it uses less digits than its factorization.

874388960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The square root of 874388960 is about 29570.0686505798. The cubic root of 874388960 is about 956.2428962122.

The spelling of 874388960 in words is "eight hundred seventy-four million, three hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 1681 3251 3280 3362 6502 6560 6724 8405 13004 13448 16255 16810 26008 26896 32510 33620 52016 53792 65020 67240 104032 130040 133291 134480 260080 266582 268960 520160 533164 666455 1066328 1332910 2132656 2665820 4265312 5331640 5464931 10663280 10929862 21326560 21859724 27324655 43719448 54649310 87438896 109298620 174877792 218597240 437194480 874388960