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28215540 = 2234517417
BaseRepresentation
bin110101110100…
…0100011110100
31222002111110000
41223220203310
524210344130
62444431300
7461554023
oct153504364
958074400
1028215540
1114a21831
129548530
135acb9b2
143a668ba
152725260
hex1ae88f4

28215540 has 60 divisors (see below), whose sum is σ = 88518276. Its totient is φ = 7523712.

The previous prime is 28215527. The next prime is 28215541. The reversal of 28215540 is 4551282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19607184 + 8608356 = 4428^2 + 2934^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×282155402 = 1592233394983200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28215541) 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 19 ways as a sum of consecutive naturals, for example, 7089 + ... + 10328.

Almost surely, 228215540 is an apocalyptic number.

28215540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28215540 is an abundant number, since it is smaller than the sum of its proper divisors (60302736).

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

28215540 is a wasteful number, since it uses less digits than its factorization.

28215540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17438 (or 17427 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 28215540 is about 5311.8301930691. The cubic root of 28215540 is about 304.4360806404.

It can be divided in two parts, 282 and 15540, that multiplied together give a triangular number (4382280 = T2960).

The spelling of 28215540 in words is "twenty-eight million, two hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 17417 34834 52251 69668 87085 104502 156753 174170 209004 261255 313506 348340 470259 522510 627012 783765 940518 1045020 1410777 1567530 1881036 2351295 2821554 3135060 4702590 5643108 7053885 9405180 14107770 28215540