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253260150 = 2352111311807
BaseRepresentation
bin11110001100001…
…11000101110110
3122122112221121120
433012013011312
51004313311100
641044124410
76163450533
oct1706070566
9578487546
10253260150
1111aa60110
1270996706
13406145a0
14258c7d8a
151737a0a0
hexf187176

253260150 has 96 divisors (see below), whose sum is σ = 737952768. Its totient is φ = 56668800.

The previous prime is 253260143. The next prime is 253260151. The reversal of 253260150 is 51062352.

It is a self number, because there is not a number n which added to its sum of digits gives 253260150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253260151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15547 + ... + 27353.

It is an arithmetic number, because the mean of its divisors is an integer number (7687008).

Almost surely, 2253260150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253260150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368976384).

253260150 is an abundant number, since it is smaller than the sum of its proper divisors (484692618).

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

253260150 is a wasteful number, since it uses less digits than its factorization.

253260150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11846 (or 11841 counting only the distinct ones).

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

The square root of 253260150 is about 15914.1493646377. The cubic root of 253260150 is about 632.6870615870.

The spelling of 253260150 in words is "two hundred fifty-three million, two hundred sixty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 130 143 150 165 195 275 286 325 330 390 429 550 650 715 825 858 975 1430 1650 1950 2145 3575 4290 7150 10725 11807 21450 23614 35421 59035 70842 118070 129877 153491 177105 259754 295175 306982 354210 389631 460473 590350 649385 767455 779262 885525 920946 1298770 1534910 1688401 1771050 1948155 2302365 3246925 3376802 3837275 3896310 4604730 5065203 6493850 7674550 8442005 9740775 10130406 11511825 16884010 19481550 23023650 25326015 42210025 50652030 84420050 126630075 253260150