Search a number
-
+
23257836 = 22327176189
BaseRepresentation
bin101100010111…
…0001011101100
31121202121202100
41120232023230
521423222321
62150255100
7401455050
oct130561354
947677670
1023257836
1112145a58
127957490
134a84244
143135c60
152096326
hex162e2ec

23257836 has 144 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 6082560.

The previous prime is 23257799. The next prime is 23257849. The reversal of 23257836 is 63875232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23257836.

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 47 ways as a sum of consecutive naturals, for example, 261280 + ... + 261368.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 223257836 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 23257836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

23257836 is an abundant number, since it is smaller than the sum of its proper divisors (49862484).

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

23257836 is a wasteful number, since it uses less digits than its factorization.

23257836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 23257836 is about 4822.6378673917. The cubic root of 23257836 is about 285.4454345723.

The spelling of 23257836 in words is "twenty-three million, two hundred fifty-seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 61 63 68 84 89 102 119 122 126 153 178 183 204 238 244 252 267 306 356 357 366 427 476 534 549 612 623 714 732 801 854 1037 1068 1071 1098 1246 1281 1428 1513 1602 1708 1869 2074 2142 2196 2492 2562 3026 3111 3204 3738 3843 4148 4284 4539 5124 5429 5607 6052 6222 7259 7476 7686 9078 9333 10591 10858 11214 12444 13617 14518 15372 16287 18156 18666 21182 21716 21777 22428 27234 29036 31773 32574 37332 38003 42364 43554 48861 54468 63546 65148 65331 76006 87108 92293 95319 97722 114009 127092 130662 152012 184586 190638 195444 228018 261324 276879 342027 369172 381276 456036 553758 646051 684054 830637 1107516 1292102 1368108 1661274 1938153 2584204 3322548 3876306 5814459 7752612 11628918 23257836