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5444160 = 263553107
BaseRepresentation
bin10100110001001001000000
3101020120222120
4110301021000
52343203120
6312404240
764163121
oct24611100
911216876
105444160
113089307
1219a6680
131187cc7
14a1a048
15728140
hex531240

5444160 has 112 divisors (see below), whose sum is σ = 17775936. Its totient is φ = 1411072.

The previous prime is 5444149. The next prime is 5444161. The reversal of 5444160 is 614445.

5444160 = T264 + T265 + ... + T370.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5444160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5444161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50827 + ... + 50933.

Almost surely, 25444160 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 5444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8887968).

5444160 is an abundant number, since it is smaller than the sum of its proper divisors (12331776).

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

5444160 is a wasteful number, since it uses less digits than its factorization.

5444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5444160 is about 2333.2723801562. The cubic root of 5444160 is about 175.9180058840.

The spelling of 5444160 in words is "five million, four hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 107 120 159 160 192 212 214 240 265 318 320 321 424 428 480 530 535 636 642 795 848 856 960 1060 1070 1272 1284 1590 1605 1696 1712 2120 2140 2544 2568 3180 3210 3392 3424 4240 4280 5088 5136 5671 6360 6420 6848 8480 8560 10176 10272 11342 12720 12840 16960 17013 17120 20544 22684 25440 25680 28355 34026 34240 45368 50880 51360 56710 68052 85065 90736 102720 113420 136104 170130 181472 226840 272208 340260 362944 453680 544416 680520 907360 1088832 1361040 1814720 2722080 5444160