Search a number
-
+
20367828 = 22331389163
BaseRepresentation
bin100110110110…
…0100111010100
31102022210102000
41031230213110
520203232303
62004315300
7335060265
oct115544724
942283360
1020367828
1110551718
1269a2b30
1342b1990
1429c296c
151bc4da3
hex136c9d4

20367828 has 96 divisors (see below), whose sum is σ = 57859200. Its totient is φ = 6158592.

The previous prime is 20367827. The next prime is 20367863. The reversal of 20367828 is 82876302.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20367792 and 20367801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20367827) 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 31 ways as a sum of consecutive naturals, for example, 124875 + ... + 125037.

It is an arithmetic number, because the mean of its divisors is an integer number (602700).

Almost surely, 220367828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20367828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28929600).

20367828 is an abundant number, since it is smaller than the sum of its proper divisors (37491372).

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

20367828 is a wasteful number, since it uses less digits than its factorization.

20367828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20367828 is about 4513.0730107101. The cubic root of 20367828 is about 273.0957278105.

The spelling of 20367828 in words is "twenty million, three hundred sixty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 89 108 117 156 163 178 234 267 326 351 356 468 489 534 652 702 801 978 1068 1157 1404 1467 1602 1956 2119 2314 2403 2934 3204 3471 4238 4401 4628 4806 5868 6357 6942 8476 8802 9612 10413 12714 13884 14507 17604 19071 20826 25428 29014 31239 38142 41652 43521 57213 58028 62478 76284 87042 114426 124956 130563 174084 188591 228852 261126 377182 391689 522252 565773 754364 783378 1131546 1566756 1697319 2263092 3394638 5091957 6789276 10183914 20367828