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5868120 = 233579619
BaseRepresentation
bin10110011000101001011000
3102001010112210
4112120221120
53000234440
6325435120
7100610136
oct26305130
912033483
105868120
113348895
121b6baa0
1312a5c7b
14aca756
157ada80
hex598a58

5868120 has 64 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 1542528.

The previous prime is 5868103. The next prime is 5868127. The reversal of 5868120 is 218685.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5868127) 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, 9171 + ... + 9789.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 25868120 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 5868120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

5868120 is an abundant number, since it is smaller than the sum of its proper divisors (11987880).

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

5868120 is a wasteful number, since it uses less digits than its factorization.

5868120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5868120 is about 2422.4202773260. The cubic root of 5868120 is about 180.3708403991.

The spelling of 5868120 in words is "five million, eight hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 619 632 790 948 1185 1238 1580 1857 1896 2370 2476 3095 3160 3714 4740 4952 6190 7428 9285 9480 12380 14856 18570 24760 37140 48901 74280 97802 146703 195604 244505 293406 391208 489010 586812 733515 978020 1173624 1467030 1956040 2934060 5868120