Search a number
-
+
20315256 = 233131923149
BaseRepresentation
bin100110101111…
…1110001111000
31102020010021220
41031133301320
520200042011
62003232040
7334451103
oct115376170
942203256
1020315256
1110516175
126978620
134293a80
1429ab73a
151bb4506
hex135fc78

20315256 has 128 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 5626368.

The previous prime is 20315227. The next prime is 20315263. The reversal of 20315256 is 65251302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136270 + ... + 136418.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 220315256 is an apocalyptic number.

20315256 is a gapful number since it is divisible by the number (26) 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 20315256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

20315256 is an abundant number, since it is smaller than the sum of its proper divisors (40164744).

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

20315256 is a wasteful number, since it uses less digits than its factorization.

20315256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 20315256 is about 4507.2448347078. The cubic root of 20315256 is about 272.8605602228.

Adding to 20315256 its reverse (65251302), we get a palindrome (85566558).

The spelling of 20315256 in words is "twenty million, three hundred fifteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 19 23 24 26 38 39 46 52 57 69 76 78 92 104 114 138 149 152 156 184 228 247 276 298 299 312 437 447 456 494 552 596 598 741 874 894 897 988 1192 1196 1311 1482 1748 1788 1794 1937 1976 2392 2622 2831 2964 3427 3496 3576 3588 3874 5244 5662 5681 5811 5928 6854 7176 7748 8493 10281 10488 11324 11362 11622 13708 15496 16986 17043 20562 22648 22724 23244 27416 33972 34086 36803 41124 44551 45448 46488 65113 67944 68172 73606 82248 89102 110409 130226 133653 136344 147212 178204 195339 220818 260452 267306 294424 356408 390678 441636 520904 534612 781356 846469 883272 1069224 1562712 1692938 2539407 3385876 5078814 6771752 10157628 20315256