Search a number
-
+
740160 = 26325257
BaseRepresentation
bin10110100101101000000
31101121022100
42310231000
5142141120
623510400
76201621
oct2645500
91347270
10740160
11466103
122b8400
131cbb85
14153a48
15e9490
hexb4b40

740160 has 84 divisors (see below), whose sum is σ = 2555748. Its totient is φ = 196608.

The previous prime is 740153. The next prime is 740161. The reversal of 740160 is 61047.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 186624 = 744^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740161) by changing a digit.

740160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2752 + ... + 3008.

2740160 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 740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277874).

740160 is an abundant number, since it is smaller than the sum of its proper divisors (1815588).

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

740160 is a wasteful number, since it uses less digits than its factorization.

740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 740160 is about 860.3255197889. The cubic root of 740160 is about 90.4569354443.

It can be divided in two parts, 740 and 160, that added together give a square (900 = 302).

The spelling of 740160 in words is "seven hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 257 288 320 360 480 514 576 720 771 960 1028 1285 1440 1542 2056 2313 2570 2880 3084 3855 4112 4626 5140 6168 7710 8224 9252 10280 11565 12336 15420 16448 18504 20560 23130 24672 30840 37008 41120 46260 49344 61680 74016 82240 92520 123360 148032 185040 246720 370080 740160