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150117132 = 223111636977
BaseRepresentation
bin10001111001010…
…01101100001100
3101110110201222210
420330221230030
5301412222012
622521310420
73501655164
oct1074515414
9343421883
10150117132
1177812250
1242335410
1325140309
1415d195a4
15d2a423c
hex8f29b0c

150117132 has 48 divisors (see below), whose sum is σ = 384515712. Its totient is φ = 45204480.

The previous prime is 150117131. The next prime is 150117139. The reversal of 150117132 is 231711051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 150117099 and 150117108.

It is not an unprimeable number, because it can be changed into a prime (150117131) 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, 18028 + ... + 25004.

It is an arithmetic number, because the mean of its divisors is an integer number (8010744).

Almost surely, 2150117132 is an apocalyptic number.

150117132 is a gapful number since it is divisible by the number (12) 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 150117132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192257856).

150117132 is an abundant number, since it is smaller than the sum of its proper divisors (234398580).

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

150117132 is a wasteful number, since it uses less digits than its factorization.

150117132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 150117132 is about 12252.2296746347. The cubic root of 150117132 is about 531.4675500785.

Adding to 150117132 its reverse (231711051), we get a palindrome (381828183).

The spelling of 150117132 in words is "one hundred fifty million, one hundred seventeen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 163 326 489 652 978 1793 1956 3586 5379 6977 7172 10758 13954 20931 21516 27908 41862 76747 83724 153494 230241 306988 460482 920964 1137251 2274502 3411753 4549004 6823506 12509761 13647012 25019522 37529283 50039044 75058566 150117132