Search a number
-
+
150105200 = 2452753609
BaseRepresentation
bin10001111001001…
…10110001110000
3101110110010121212
420330212301300
5301411331300
622521135252
73501605330
oct1074466160
9343403555
10150105200
1177804293
124232a528
1325137a5b
1415d150c0
15d2a0935
hex8f26c70

150105200 has 60 divisors (see below), whose sum is σ = 412153680. Its totient is φ = 51463680.

The previous prime is 150105191. The next prime is 150105203. The reversal of 150105200 is 2501051.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150105203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 24005 + ... + 29604.

It is an arithmetic number, because the mean of its divisors is an integer number (6869228).

Almost surely, 2150105200 is an apocalyptic number.

150105200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150105200 is an abundant number, since it is smaller than the sum of its proper divisors (262048480).

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

150105200 is a wasteful number, since it uses less digits than its factorization.

150105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53634 (or 53623 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 150105200 is about 12251.7427331788. The cubic root of 150105200 is about 531.4534685438.

Adding to 150105200 its reverse (2501051), we get a palindrome (152606251).

The spelling of 150105200 in words is "one hundred fifty million, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 53609 107218 214436 268045 375263 428872 536090 750526 857744 1072180 1340225 1501052 1876315 2144360 2680450 3002104 3752630 4288720 5360900 6004208 7505260 9381575 10721800 15010520 18763150 21443600 30021040 37526300 75052600 150105200