Search a number
-
+
28137700 = 2252535309
BaseRepresentation
bin110101101010…
…1100011100100
31221221112200001
41223111203210
524200401300
62443031044
7461111053
oct153254344
957845601
1028137700
11149792a8
12950b484
135aa2436
143a4639a
15270c16a
hex1ad58e4

28137700 has 36 divisors (see below), whose sum is σ = 62222580. Its totient is φ = 11040640.

The previous prime is 28137679. The next prime is 28137719. The reversal of 28137700 is 773182.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4088484 + 24049216 = 2022^2 + 4904^2 .

It is a super-2 number, since 2×281377002 = 1583460322580000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2646 + ... + 7954.

It is an arithmetic number, because the mean of its divisors is an integer number (1728405).

Almost surely, 228137700 is an apocalyptic number.

28137700 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 28137700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31111290).

28137700 is an abundant number, since it is smaller than the sum of its proper divisors (34084880).

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

28137700 is a wasteful number, since it uses less digits than its factorization.

28137700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 28137700 is about 5304.4980912429. The cubic root of 28137700 is about 304.1558670922.

The spelling of 28137700 in words is "twenty-eight million, one hundred thirty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 5309 10618 21236 26545 53090 106180 132725 265450 281377 530900 562754 1125508 1406885 2813770 5627540 7034425 14068850 28137700