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150506631 = 321110211489
BaseRepresentation
bin10001111100010…
…00110010000111
3101111012112021200
420332020302013
5302012203011
622533513543
73505166562
oct1076106207
9344175250
10150506631
1177a58950
12424a28b3
13252486a2
1415dbb4d9
15d32e856
hex8f88c87

150506631 has 24 divisors (see below), whose sum is σ = 237553680. Its totient is φ = 91065600.

The previous prime is 150506617. The next prime is 150506647. The reversal of 150506631 is 136605051.

It is a happy number.

150506631 is a `hidden beast` number, since 150 + 506 + 6 + 3 + 1 = 666.

It is not a de Polignac number, because 150506631 - 29 = 150506119 is a prime.

It is a super-2 number, since 2×1505066312 = 45304491949940322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150506595 and 150506604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150506651) 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 23 ways as a sum of consecutive naturals, for example, 100335 + ... + 101823.

It is an arithmetic number, because the mean of its divisors is an integer number (9898070).

Almost surely, 2150506631 is an apocalyptic number.

150506631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

150506631 is a deficient number, since it is larger than the sum of its proper divisors (87047049).

150506631 is a wasteful number, since it uses less digits than its factorization.

150506631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 150506631 is about 12268.1144027923. The cubic root of 150506631 is about 531.9268076800.

The spelling of 150506631 in words is "one hundred fifty million, five hundred six thousand, six hundred thirty-one".

Divisors: 1 3 9 11 33 99 1021 1489 3063 4467 9189 11231 13401 16379 33693 49137 101079 147411 1520269 4560807 13682421 16722959 50168877 150506631