Search a number
-
+
20349252 = 22337112447
BaseRepresentation
bin100110110100…
…0000101000100
31102021211221000
41031220011010
520202134002
62004053300
7334652160
oct115500504
942254830
1020349252
1110539770
126994230
1342a63a1
1429b9ca0
151bbe61c
hex1368144

20349252 has 96 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 5283360.

The previous prime is 20349229. The next prime is 20349253. The reversal of 20349252 is 25294302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20349253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7093 + ... + 9539.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 220349252 is an apocalyptic number.

20349252 is a gapful number since it is divisible by the number (22) 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 20349252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

20349252 is an abundant number, since it is smaller than the sum of its proper divisors (45452988).

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

20349252 is a wasteful number, since it uses less digits than its factorization.

20349252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20349252 is about 4511.0145200387. The cubic root of 20349252 is about 273.0126790392.

It can be divided in two parts, 203 and 49252, that added together give a triangular number (49455 = T314).

The spelling of 20349252 in words is "twenty million, three hundred forty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2447 2772 4158 4894 7341 8316 9788 14682 17129 22023 26917 29364 34258 44046 51387 53834 66069 68516 80751 88092 102774 107668 132138 154161 161502 188419 205548 242253 264276 308322 323004 376838 462483 484506 565257 616644 726759 753676 924966 969012 1130514 1453518 1695771 1849932 2261028 2907036 3391542 5087313 6783084 10174626 20349252