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5469120 = 26345211
BaseRepresentation
bin10100110111001111000000
3101021212020000
4110313033000
52400002440
6313120000
764325646
oct24671700
911255200
105469120
1130a6038
1219b9000
131196487
14a25196
15730730
hex5373c0

5469120 has 140 divisors (see below), whose sum is σ = 19546824. Its totient is φ = 1451520.

The previous prime is 5469109. The next prime is 5469133. The reversal of 5469120 is 219645.

5469120 = T381 + T382 + ... + T444.

It is a super-2 number, since 2×54691202 = 59822547148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25815 + ... + 26025.

Almost surely, 25469120 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 5469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9773412).

5469120 is an abundant number, since it is smaller than the sum of its proper divisors (14077704).

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

5469120 is a wasteful number, since it uses less digits than its factorization.

5469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5469120 is about 2338.6149747233. The cubic root of 5469120 is about 176.1864415462.

The spelling of 5469120 in words is "five million, four hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 211 216 240 270 288 320 324 360 405 422 432 480 540 576 633 648 720 810 844 864 960 1055 1080 1266 1296 1440 1620 1688 1728 1899 2110 2160 2532 2592 2880 3165 3240 3376 3798 4220 4320 5064 5184 5697 6330 6480 6752 7596 8440 8640 9495 10128 11394 12660 12960 13504 15192 16880 17091 18990 20256 22788 25320 25920 28485 30384 33760 34182 37980 40512 45576 50640 56970 60768 67520 68364 75960 85455 91152 101280 113940 121536 136728 151920 170910 182304 202560 227880 273456 303840 341820 364608 455760 546912 607680 683640 911520 1093824 1367280 1823040 2734560 5469120