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28486120 = 23513291889
BaseRepresentation
bin110110010101…
…0100111101000
31222121020121111
41230222213220
524243023440
62454320104
7464061625
oct154524750
958536544
1028486120
1115097053
129659034
135b94bc0
143ad734c
15277a4ea
hex1b2a9e8

28486120 has 64 divisors (see below), whose sum is σ = 71442000. Its totient is φ = 10149888.

The previous prime is 28486109. The next prime is 28486127. The reversal of 28486120 is 2168482.

It can be written as a sum of positive squares in 8 ways, for example, as 7086244 + 21399876 = 2662^2 + 4626^2 .

It is a super-2 number, since 2×284861202 = 1622918065308800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28486127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14136 + ... + 16024.

Almost surely, 228486120 is an apocalyptic number.

28486120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28486120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35721000).

28486120 is an abundant number, since it is smaller than the sum of its proper divisors (42955880).

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

28486120 is a wasteful number, since it uses less digits than its factorization.

28486120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 28486120 is about 5337.2389865922. The cubic root of 28486120 is about 305.4061417280.

The spelling of 28486120 in words is "twenty-eight million, four hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 1889 3016 3770 3778 7540 7556 9445 15080 15112 18890 24557 37780 49114 54781 75560 98228 109562 122785 196456 219124 245570 273905 438248 491140 547810 712153 982280 1095620 1424306 2191240 2848612 3560765 5697224 7121530 14243060 28486120