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28860240 = 2435196329
BaseRepresentation
bin110111000010…
…1111101010000
32000022020210210
41232011331100
524342011430
62510324120
7500210433
oct156057520
960266723
1028860240
1115322142
1297b9640
135c96286
143b9381a
1528012b0
hex1b85f50

28860240 has 80 divisors (see below), whose sum is σ = 94190400. Its totient is φ = 7289856.

The previous prime is 28860233. The next prime is 28860253. The reversal of 28860240 is 4206882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 28860198 and 28860207.

It is a congruent number.

It is an unprimeable number.

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, 1396 + ... + 7724.

It is an arithmetic number, because the mean of its divisors is an integer number (1177380).

Almost surely, 228860240 is an apocalyptic number.

28860240 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 28860240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47095200).

28860240 is an abundant number, since it is smaller than the sum of its proper divisors (65330160).

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

28860240 is a wasteful number, since it uses less digits than its factorization.

28860240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 28860240 is about 5372.1727448026. The cubic root of 28860240 is about 306.7373393095.

The spelling of 28860240 in words is "twenty-eight million, eight hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 6329 12658 18987 25316 31645 37974 50632 63290 75948 94935 101264 120251 126580 151896 189870 240502 253160 303792 360753 379740 481004 506320 601255 721506 759480 962008 1202510 1443012 1518960 1803765 1924016 2405020 2886024 3607530 4810040 5772048 7215060 9620080 14430120 28860240