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20153250 = 2325313253
BaseRepresentation
bin100110011100…
…0001110100010
31101220220001200
41030320032202
520124401000
61555542030
7333204555
oct114701642
941826050
1020153250
1110415487
1268ba916
134238100
14296869c
151b81500
hex13383a2

20153250 has 144 divisors (see below), whose sum is σ = 60122088. Its totient is φ = 4867200.

The previous prime is 20153227. The next prime is 20153251. The reversal of 20153250 is 5235102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4447881 + 15705369 = 2109^2 + 3963^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20153251) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 380224 + ... + 380276.

Almost surely, 220153250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20153250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30061044).

20153250 is an abundant number, since it is smaller than the sum of its proper divisors (39968838).

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

20153250 is a wasteful number, since it uses less digits than its factorization.

20153250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20153250 is about 4489.2371289563. The cubic root of 20153250 is about 272.1333058362.

Adding to 20153250 its reverse (5235102), we get a palindrome (25388352).

The spelling of 20153250 in words is "twenty million, one hundred fifty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 53 65 75 78 90 106 117 125 130 150 159 169 195 225 234 250 265 318 325 338 375 390 450 477 507 530 585 650 689 750 795 845 954 975 1014 1125 1170 1325 1378 1521 1590 1625 1690 1950 2067 2250 2385 2535 2650 2925 3042 3250 3445 3975 4134 4225 4770 4875 5070 5850 6201 6625 6890 7605 7950 8450 8957 9750 10335 11925 12402 12675 13250 14625 15210 17225 17914 19875 20670 21125 23850 25350 26871 29250 31005 34450 38025 39750 42250 44785 51675 53742 59625 62010 63375 76050 80613 86125 89570 103350 119250 126750 134355 155025 161226 172250 190125 223925 258375 268710 310050 380250 403065 447850 516750 671775 775125 806130 1119625 1343550 1550250 2015325 2239250 3358875 4030650 6717750 10076625 20153250