Search a number
-
+
150654564 = 22324184849
BaseRepresentation
bin10001111101011…
…00111001100100
3101111111001012200
420332230321210
5302031421224
622541014500
73506354064
oct1076547144
9344431180
10150654564
117804a005
1242554430
132529ab18
14160193a4
15d35d5c9
hex8face64

150654564 has 18 divisors (see below), whose sum is σ = 380821350. Its totient is φ = 50218176.

The previous prime is 150654551. The next prime is 150654571. The reversal of 150654564 is 465456051.

150654564 is a `hidden beast` number, since 1 + 50 + 6 + 545 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135908964 + 14745600 = 11658^2 + 3840^2 .

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: 4184849 = 150654564 / (1 + 5 + 0 + 6 + 5 + 4 + 5 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2092389 + ... + 2092460.

Almost surely, 2150654564 is an apocalyptic number.

It is an amenable number.

150654564 is an abundant number, since it is smaller than the sum of its proper divisors (230166786).

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

150654564 is a wasteful number, since it uses less digits than its factorization.

150654564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184859 (or 4184854 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 150654564 is about 12274.1420881461. The cubic root of 150654564 is about 532.1010276034.

The spelling of 150654564 in words is "one hundred fifty million, six hundred fifty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4184849 8369698 12554547 16739396 25109094 37663641 50218188 75327282 150654564