Search a number
-
+
253350150 = 235217731361
BaseRepresentation
bin11110001100111…
…01000100000110
3122122201112001220
433012131010012
51004324201100
641050101210
76164304114
oct1706350406
9578645056
10253350150
11120011799
1270a1a806
1340646541
142590cab4
1517396aa0
hexf19d106

253350150 has 96 divisors (see below), whose sum is σ = 674876448. Its totient is φ = 62668800.

The previous prime is 253350107. The next prime is 253350173. The reversal of 253350150 is 51053352.

It is a self number, because there is not a number n which added to its sum of digits gives 253350150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185470 + ... + 186830.

It is an arithmetic number, because the mean of its divisors is an integer number (7029963).

Almost surely, 2253350150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253350150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337438224).

253350150 is an abundant number, since it is smaller than the sum of its proper divisors (421526298).

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

253350150 is a wasteful number, since it uses less digits than its factorization.

253350150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 253350150 is about 15916.9767858095. The cubic root of 253350150 is about 632.7619978292.

The spelling of 253350150 in words is "two hundred fifty-three million, three hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 73 75 85 102 146 150 170 219 255 365 425 438 510 730 850 1095 1241 1275 1361 1825 2190 2482 2550 2722 3650 3723 4083 5475 6205 6805 7446 8166 10950 12410 13610 18615 20415 23137 31025 34025 37230 40830 46274 62050 68050 69411 93075 99353 102075 115685 138822 186150 198706 204150 231370 298059 347055 496765 578425 596118 694110 993530 1156850 1490295 1689001 1735275 2483825 2980590 3378002 3470550 4967650 5067003 7451475 8445005 10134006 14902950 16890010 25335015 42225025 50670030 84450050 126675075 253350150