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150681636 = 22327738191
BaseRepresentation
bin10001111101100…
…11100000100100
3101111112102100100
420332303200210
5302033303021
622541344100
73506526030
oct1076634044
9344472310
10150681636
1178068386
1242568030
13252aa241
14160251c0
15d366626
hex8fb3824

150681636 has 72 divisors (see below), whose sum is σ = 441319424. Its totient is φ = 42456960.

The previous prime is 150681623. The next prime is 150681637. The reversal of 150681636 is 636186051.

It is a happy number.

150681636 is a `hidden beast` number, since 15 + 0 + 6 + 8 + 1 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 150681636.

It is not an unprimeable number, because it can be changed into a prime (150681637) 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, 14301 + ... + 22491.

Almost surely, 2150681636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150681636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220659712).

150681636 is an abundant number, since it is smaller than the sum of its proper divisors (290637788).

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

150681636 is a wasteful number, since it uses less digits than its factorization.

150681636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150681636 is about 12275.2448448086. The cubic root of 150681636 is about 532.1328978101.

The spelling of 150681636 in words is "one hundred fifty million, six hundred eighty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 8191 9198 16382 18396 24573 32764 49146 57337 73719 98292 114674 147438 172011 229348 294876 344022 516033 597943 688044 1032066 1195886 1793829 2064132 2391772 3587658 4185601 5381487 7175316 8371202 10762974 12556803 16742404 21525948 25113606 37670409 50227212 75340818 150681636