Search a number
-
+
150438150 = 232521811847
BaseRepresentation
bin10001111011110…
…00000100000110
3101111002001100100
420331320010012
5302003010100
622532224530
73504463122
oct1075700406
9344061310
10150438150
1177a11455
124246b146
1325223475
1415da0582
15d319400
hex8f78106

150438150 has 72 divisors (see below), whose sum is σ = 406630224. Its totient is φ = 39873600.

The previous prime is 150438149. The next prime is 150438157. The reversal of 150438150 is 51834051.

150438150 is a `hidden beast` number, since 1 + 504 + 3 + 8 + 150 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150438157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80527 + ... + 82373.

It is an arithmetic number, because the mean of its divisors is an integer number (5647642).

Almost surely, 2150438150 is an apocalyptic number.

150438150 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 150438150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203315112).

150438150 is an abundant number, since it is smaller than the sum of its proper divisors (256192074).

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

150438150 is a wasteful number, since it uses less digits than its factorization.

150438150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 150438150 is about 12265.3230695322. The cubic root of 150438150 is about 531.8461193062.

The spelling of 150438150 in words is "one hundred fifty million, four hundred thirty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 181 225 362 450 543 905 1086 1629 1810 1847 2715 3258 3694 4525 5430 5541 8145 9050 9235 11082 13575 16290 16623 18470 27150 27705 33246 40725 46175 55410 81450 83115 92350 138525 166230 277050 334307 415575 668614 831150 1002921 1671535 2005842 3008763 3343070 5014605 6017526 8357675 10029210 15043815 16715350 25073025 30087630 50146050 75219075 150438150