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150400110 = 235721011013
BaseRepresentation
bin10001111011011…
…10110001101110
3101111000010011110
420331232301232
5302000300420
622531332450
73504244200
oct1075566156
9344003143
10150400110
1177995913
1242451126
132520c063
1415d90770
15d30cee0
hex8f6ec6e

150400110 has 96 divisors (see below), whose sum is σ = 424468512. Its totient is φ = 34003200.

The previous prime is 150400109. The next prime is 150400157. The reversal of 150400110 is 11004051.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147964 + ... + 148976.

It is an arithmetic number, because the mean of its divisors is an integer number (4421547).

Almost surely, 2150400110 is an apocalyptic number.

150400110 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 150400110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212234256).

150400110 is an abundant number, since it is smaller than the sum of its proper divisors (274068402).

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

150400110 is a wasteful number, since it uses less digits than its factorization.

150400110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 150400110 is about 12263.7722581594. The cubic root of 150400110 is about 531.8012877439.

Adding to 150400110 its reverse (11004051), we get a palindrome (161404161).

The spelling of 150400110 in words is "one hundred fifty million, four hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 101 105 147 202 210 245 294 303 490 505 606 707 735 1010 1013 1414 1470 1515 2026 2121 3030 3039 3535 4242 4949 5065 6078 7070 7091 9898 10130 10605 14182 14847 15195 21210 21273 24745 29694 30390 35455 42546 49490 49637 70910 74235 99274 102313 106365 148470 148911 204626 212730 248185 297822 306939 496370 511565 613878 716191 744555 1023130 1432382 1489110 1534695 2148573 3069390 3580955 4297146 5013337 7161910 10026674 10742865 15040011 21485730 25066685 30080022 50133370 75200055 150400110