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150287364 = 22324174649
BaseRepresentation
bin10001111010100…
…11010000000100
3101110210101111200
420331103100010
5301433143424
622525102500
73503264403
oct1075232004
9343711450
10150287364
1177919137
12423b7a30
132519c946
1415d6163a
15d2d98c9
hex8f53404

150287364 has 18 divisors (see below), whose sum is σ = 379893150. Its totient is φ = 50095776.

The previous prime is 150287351. The next prime is 150287369. The reversal of 150287364 is 463782051.

150287364 is a `hidden beast` number, since 15 + 0 + 287 + 364 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146894400 + 3392964 = 12120^2 + 1842^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4174649 = 150287364 / (1 + 5 + 0 + 2 + 8 + 7 + 3 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (150287369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2087289 + ... + 2087360.

It is an arithmetic number, because the mean of its divisors is an integer number (21105175).

Almost surely, 2150287364 is an apocalyptic number.

It is an amenable number.

150287364 is an abundant number, since it is smaller than the sum of its proper divisors (229605786).

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

150287364 is a wasteful number, since it uses less digits than its factorization.

150287364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174659 (or 4174654 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 150287364 is about 12259.1746867397. The cubic root of 150287364 is about 531.6683679460.

The spelling of 150287364 in words is "one hundred fifty million, two hundred eighty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4174649 8349298 12523947 16698596 25047894 37571841 50095788 75143682 150287364