Search a number
-
+
102420150 = 23527234241
BaseRepresentation
bin1100001101011…
…00111010110110
321010201111000220
412012230322312
5202204421100
614055115210
72352362010
oct606547266
9233644026
10102420150
11528a4858
122a372b06
13182b0251
14d8611b0
158ed1aa0
hex61aceb6

102420150 has 96 divisors (see below), whose sum is σ = 302980608. Its totient is φ = 22387200.

The previous prime is 102420137. The next prime is 102420151. The reversal of 102420150 is 51024201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102420151) 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, 22030 + ... + 26270.

It is an arithmetic number, because the mean of its divisors is an integer number (3156048).

Almost surely, 2102420150 is an apocalyptic number.

102420150 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 102420150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151490304).

102420150 is an abundant number, since it is smaller than the sum of its proper divisors (200560458).

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

102420150 is a wasteful number, since it uses less digits than its factorization.

102420150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 102420150 is about 10120.2840869217. The cubic root of 102420150 is about 467.8735230584.

Adding to 102420150 its reverse (51024201), we get a palindrome (153444351).

The spelling of 102420150 in words is "one hundred two million, four hundred twenty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 105 115 138 150 161 175 210 230 322 345 350 483 525 575 690 805 966 1050 1150 1610 1725 2415 3450 4025 4241 4830 8050 8482 12075 12723 21205 24150 25446 29687 42410 59374 63615 89061 97543 106025 127230 148435 178122 195086 212050 292629 296870 318075 445305 487715 585258 636150 682801 742175 890610 975430 1365602 1463145 1484350 2048403 2226525 2438575 2926290 3414005 4096806 4453050 4877150 6828010 7315725 10242015 14631450 17070025 20484030 34140050 51210075 102420150