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5325120 = 26325432
BaseRepresentation
bin10100010100000101000000
3101000112200200
4110110011000
52330400440
6310045200
763156063
oct24240500
911015620
105325120
113007929
121949800
131145a78
149c88da
15702c30
hex514140

5325120 has 126 divisors (see below), whose sum is σ = 18752058. Its totient is φ = 1387008.

The previous prime is 5325109. The next prime is 5325139. The reversal of 5325120 is 215235.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4260096 + 1065024 = 2064^2 + 1032^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5325093 and 5325102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123819 + ... + 123861.

Almost surely, 25325120 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 5325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376029).

5325120 is an abundant number, since it is smaller than the sum of its proper divisors (13426938).

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

5325120 is a wasteful number, since it uses less digits than its factorization.

5325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5325120 is about 2307.6221527798. The cubic root of 5325120 is about 174.6263592738.

It can be divided in two parts, 5325 and 120, that added together give a palindrome (5445).

The spelling of 5325120 in words is "five million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 64 72 80 86 90 96 120 129 144 160 172 180 192 215 240 258 288 320 344 360 387 430 480 516 576 645 688 720 774 860 960 1032 1290 1376 1440 1548 1720 1849 1935 2064 2580 2752 2880 3096 3440 3698 3870 4128 5160 5547 6192 6880 7396 7740 8256 9245 10320 11094 12384 13760 14792 15480 16641 18490 20640 22188 24768 27735 29584 30960 33282 36980 41280 44376 55470 59168 61920 66564 73960 83205 88752 110940 118336 123840 133128 147920 166410 177504 221880 266256 295840 332820 355008 443760 532512 591680 665640 887520 1065024 1331280 1775040 2662560 5325120