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150326020 = 225135310909
BaseRepresentation
bin10001111010111…
…00101100000100
3101110212100112101
420331130230010
5301440413040
622530001444
73503515165
oct1075345404
9343770471
10150326020
1177945189
1242416284
13251b4410
1415d7176c
15d2e609a
hex8f5cb04

150326020 has 48 divisors (see below), whose sum is σ = 346414320. Its totient is φ = 54452736.

The previous prime is 150326009. The next prime is 150326023. The reversal of 150326020 is 20623051.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12404484 + 137921536 = 3522^2 + 11744^2 .

It is not an unprimeable number, because it can be changed into a prime (150326023) 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 15 ways as a sum of consecutive naturals, for example, 8326 + ... + 19234.

It is an arithmetic number, because the mean of its divisors is an integer number (7216965).

Almost surely, 2150326020 is an apocalyptic number.

150326020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150326020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173207160).

150326020 is an abundant number, since it is smaller than the sum of its proper divisors (196088300).

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

150326020 is a wasteful number, since it uses less digits than its factorization.

150326020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10984 (or 10982 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 150326020 is about 12260.7512004771. The cubic root of 150326020 is about 531.7139482043.

Adding to 150326020 its reverse (20623051), we get a palindrome (170949071).

The spelling of 150326020 in words is "one hundred fifty million, three hundred twenty-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 10909 13780 21818 43636 54545 109090 141817 218180 283634 567268 578177 709085 1156354 1418170 2312708 2836340 2890885 5781770 7516301 11563540 15032602 30065204 37581505 75163010 150326020