Search a number
-
+
102314850 = 235211591051
BaseRepresentation
bin1100001100100…
…11001101100010
321010112010120220
412012103031202
5202143033400
614052543510
72351443011
oct606231542
9233463526
10102314850
1152832730
122a321b96
1318274341
14d834a78
158eb07a0
hex6193362

102314850 has 96 divisors (see below), whose sum is σ = 281767680. Its totient is φ = 24360000.

The previous prime is 102314843. The next prime is 102314851. The reversal of 102314850 is 58413201.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102314850.

It is not an unprimeable number, because it can be changed into a prime (102314851) 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, 96825 + ... + 97875.

It is an arithmetic number, because the mean of its divisors is an integer number (2935080).

Almost surely, 2102314850 is an apocalyptic number.

102314850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102314850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140883840).

102314850 is an abundant number, since it is smaller than the sum of its proper divisors (179452830).

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

102314850 is a wasteful number, since it uses less digits than its factorization.

102314850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 102314850 is about 10115.0803259292. The cubic root of 102314850 is about 467.7131250126.

The spelling of 102314850 in words is "one hundred two million, three hundred fourteen thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 59 66 75 110 118 150 165 177 275 295 330 354 550 590 649 825 885 1051 1298 1475 1650 1770 1947 2102 2950 3153 3245 3894 4425 5255 6306 6490 8850 9735 10510 11561 15765 16225 19470 23122 26275 31530 32450 34683 48675 52550 57805 62009 69366 78825 97350 115610 124018 157650 173415 186027 289025 310045 346830 372054 578050 620090 682099 867075 930135 1364198 1550225 1734150 1860270 2046297 3100450 3410495 4092594 4650675 6820990 9301350 10231485 17052475 20462970 34104950 51157425 102314850