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5840120 = 23511131021
BaseRepresentation
bin10110010001110011111000
3101222201010202
4112101303320
52443340440
6325101332
7100432406
oct26216370
911881122
105840120
113329850
121b57848
1312962c0
14ac0476
157a5615
hex591cf8

5840120 has 64 divisors (see below), whose sum is σ = 15452640. Its totient is φ = 1958400.

The previous prime is 5840119. The next prime is 5840161. The reversal of 5840120 is 210485.

It is a super-2 number, since 2×58401202 = 68214003228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 5840092 and 5840101.

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, 5210 + ... + 6230.

Almost surely, 25840120 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 5840120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726320).

5840120 is an abundant number, since it is smaller than the sum of its proper divisors (9612520).

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

5840120 is a wasteful number, since it uses less digits than its factorization.

5840120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 5840120 is about 2416.6340227680. The cubic root of 5840120 is about 180.0835003536.

The spelling of 5840120 in words is "five million, eight hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1021 1144 1430 2042 2860 4084 5105 5720 8168 10210 11231 13273 20420 22462 26546 40840 44924 53092 56155 66365 89848 106184 112310 132730 146003 224620 265460 292006 449240 530920 584012 730015 1168024 1460030 2920060 5840120