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5400120 = 2335114091
BaseRepresentation
bin10100100110011000111000
3101011100120110
4110212120320
52340300440
6311424320
763620535
oct24463070
911140513
105400120
113059210
1219850a0
131170c4b
14a07d8c
1571a080
hex526638

5400120 has 64 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1308800.

The previous prime is 5400097. The next prime is 5400121. The reversal of 5400120 is 210045.

It is a super-2 number, since 2×54001202 = 58322592028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5400096 and 5400105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5400121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726 + ... + 3365.

It is an arithmetic number, because the mean of its divisors is an integer number (276210).

Almost surely, 25400120 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 5400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

5400120 is an abundant number, since it is smaller than the sum of its proper divisors (12277320).

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

5400120 is a wasteful number, since it uses less digits than its factorization.

5400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5400120 is about 2323.8158274700. The cubic root of 5400120 is about 175.4423638466.

Adding to 5400120 its reverse (210045), we get a palindrome (5610165).

The spelling of 5400120 in words is "five million, four hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4091 8182 12273 16364 20455 24546 32728 40910 45001 49092 61365 81820 90002 98184 122730 135003 163640 180004 225005 245460 270006 360008 450010 490920 540012 675015 900020 1080024 1350030 1800040 2700060 5400120