Search a number
-
+
102040050 = 23527213883
BaseRepresentation
bin1100001010100…
…00000111110010
321010000011122010
412011100013302
5202110240200
614043023350
72346216600
oct605200762
9233004563
10102040050
1152665222
122a20ab56
13181a9238
14d7a2870
158e59150
hex61501f2

102040050 has 72 divisors (see below), whose sum is σ = 294396336. Its totient is φ = 23321760.

The previous prime is 102040027. The next prime is 102040061. The reversal of 102040050 is 50040201.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 409 + ... + 14291.

It is an arithmetic number, because the mean of its divisors is an integer number (4088838).

Almost surely, 2102040050 is an apocalyptic number.

102040050 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 102040050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147198168).

102040050 is an abundant number, since it is smaller than the sum of its proper divisors (192356286).

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

102040050 is a wasteful number, since it uses less digits than its factorization.

102040050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13912 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 102040050 is about 10101.4875142228. The cubic root of 102040050 is about 467.2940173713.

Adding to 102040050 its reverse (50040201), we get a palindrome (152080251).

The spelling of 102040050 in words is "one hundred two million, forty thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 2450 3675 7350 13883 27766 41649 69415 83298 97181 138830 194362 208245 291543 347075 416490 485905 583086 680267 694150 971810 1041225 1360534 1457715 2040801 2082450 2429525 2915430 3401335 4081602 4859050 6802670 7288575 10204005 14577150 17006675 20408010 34013350 51020025 102040050