Search a number
-
+
20253324 = 223713171091
BaseRepresentation
bin100110101000…
…0101010001100
31102002222100010
41031100222030
520141101244
62002033220
7334102410
oct115205214
942088303
1020253324
1110483693
126948810
134271820
142992d40
151ba0eb9
hex1350a8c

20253324 has 96 divisors (see below), whose sum is σ = 61641216. Its totient is φ = 5022720.

The previous prime is 20253241. The next prime is 20253347. The reversal of 20253324 is 42335202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20253324.

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, 18019 + ... + 19109.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 220253324 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 20253324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820608).

20253324 is an abundant number, since it is smaller than the sum of its proper divisors (41387892).

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

20253324 is a wasteful number, since it uses less digits than its factorization.

20253324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 20253324 is about 4500.3693181782. The cubic root of 20253324 is about 272.5830019579.

Adding to 20253324 its reverse (42335202), we get a palindrome (62588526).

The spelling of 20253324 in words is "twenty million, two hundred fifty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1091 1092 1326 1428 1547 2182 2652 3094 3273 4364 4641 6188 6546 7637 9282 13092 14183 15274 18547 18564 22911 28366 30548 37094 42549 45822 55641 56732 74188 85098 91644 99281 111282 129829 170196 198562 222564 241111 259658 297843 389487 397124 482222 519316 595686 723333 778974 964444 1191372 1446666 1557948 1687777 2893332 3375554 5063331 6751108 10126662 20253324