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5601120 = 253571667
BaseRepresentation
bin10101010111011101100000
3101112120021220
4111113131200
52413213440
6320015040
765415540
oct25273540
911476256
105601120
113186228
121a61480
131211595
14a5b320
157598d0
hex557760

5601120 has 96 divisors (see below), whose sum is σ = 20176128. Its totient is φ = 1279488.

The previous prime is 5601107. The next prime is 5601139. The reversal of 5601120 is 211065.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5601120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2527 + ... + 4193.

It is an arithmetic number, because the mean of its divisors is an integer number (210168).

Almost surely, 25601120 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 5601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10088064).

5601120 is an abundant number, since it is smaller than the sum of its proper divisors (14575008).

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

5601120 is a wasteful number, since it uses less digits than its factorization.

5601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5601120 is about 2366.6685446002. The cubic root of 5601120 is about 177.5926382794.

Adding to 5601120 its reverse (211065), we get a palindrome (5812185).

The spelling of 5601120 in words is "five million, six hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1667 1680 3334 3360 5001 6668 8335 10002 11669 13336 16670 20004 23338 25005 26672 33340 35007 40008 46676 50010 53344 58345 66680 70014 80016 93352 100020 116690 133360 140028 160032 175035 186704 200040 233380 266720 280056 350070 373408 400080 466760 560112 700140 800160 933520 1120224 1400280 1867040 2800560 5601120