Search a number
-
+
20177248 = 25713341
BaseRepresentation
bin100110011111…
…0000101100000
31101222002222111
41030332011200
520131132443
62000245104
7333334540
oct114760540
941862874
1020177248
1110431513
126910794
134246000
142973320
151b8869d
hex133e160

20177248 has 96 divisors (see below), whose sum is σ = 50379840. Its totient is φ = 7787520.

The previous prime is 20177239. The next prime is 20177299. The reversal of 20177248 is 84277102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492108 + ... + 492148.

It is an arithmetic number, because the mean of its divisors is an integer number (524790).

Almost surely, 220177248 is an apocalyptic number.

20177248 is a gapful number since it is divisible by the number (28) 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 20177248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25189920).

20177248 is an abundant number, since it is smaller than the sum of its proper divisors (30202592).

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

20177248 is an equidigital number, since it uses as much as digits as its factorization.

20177248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 20177248 is about 4491.9091709428. The cubic root of 20177248 is about 272.2412795642.

The spelling of 20177248 in words is "twenty million, one hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 41 52 56 82 91 104 112 164 169 182 208 224 287 328 338 364 416 533 574 656 676 728 1066 1148 1183 1312 1352 1456 2132 2197 2296 2366 2704 2912 3731 4264 4394 4592 4732 5408 6929 7462 8528 8788 9184 9464 13858 14924 15379 17056 17576 18928 27716 29848 30758 35152 37856 48503 55432 59696 61516 70304 90077 97006 110864 119392 123032 180154 194012 221728 246064 360308 388024 492128 630539 720616 776048 1261078 1441232 1552096 2522156 2882464 5044312 10088624 20177248