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28159120 = 2451122909
BaseRepresentation
bin110101101101…
…0110010010000
31221222122001101
41223122302100
524202042440
62443314144
7461230363
oct153326220
957878041
1028159120
1114993400
12951b954
135aac102
143a500da
15271369a
hex1adac90

28159120 has 60 divisors (see below), whose sum is σ = 71987580. Its totient is φ = 10236160.

The previous prime is 28159111. The next prime is 28159139. The reversal of 28159120 is 2195182.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 10316944 = 4224^2 + 3212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8226 + ... + 11134.

It is an arithmetic number, because the mean of its divisors is an integer number (1199793).

Almost surely, 228159120 is an apocalyptic number.

28159120 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 28159120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35993790).

28159120 is an abundant number, since it is smaller than the sum of its proper divisors (43828460).

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

28159120 is a wasteful number, since it uses less digits than its factorization.

28159120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 28159120 is about 5306.5167483011. The cubic root of 28159120 is about 304.2330277008.

It can be divided in two parts, 2815 and 9120, that added together give a triangular number (11935 = T154).

The spelling of 28159120 in words is "twenty-eight million, one hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 2909 4840 5818 9680 11636 14545 23272 29090 31999 46544 58180 63998 116360 127996 159995 232720 255992 319990 351989 511984 639980 703978 1279960 1407956 1759945 2559920 2815912 3519890 5631824 7039780 14079560 28159120