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149533520 = 2451869169
BaseRepresentation
bin10001110100110…
…11001101010000
3101102101002102112
420322123031100
5301240033040
622501004452
73464004533
oct1072331520
9342332375
10149533520
1177453824
12420b3728
1324c97796
1415c06a1a
15d1db365
hex8e9b350

149533520 has 20 divisors (see below), whose sum is σ = 347665620. Its totient is φ = 59813376.

The previous prime is 149533507. The next prime is 149533523. The reversal of 149533520 is 25335941.

It can be written as a sum of positive squares in 2 ways, for example, as 17007376 + 132526144 = 4124^2 + 11512^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149533523) 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 3 ways as a sum of consecutive naturals, for example, 934505 + ... + 934664.

It is an arithmetic number, because the mean of its divisors is an integer number (17383281).

Almost surely, 2149533520 is an apocalyptic number.

149533520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149533520 is an abundant number, since it is smaller than the sum of its proper divisors (198132100).

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

149533520 is a wasteful number, since it uses less digits than its factorization.

149533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869182 (or 1869176 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 149533520 is about 12228.3899185461. The cubic root of 149533520 is about 530.7779249003. Note that the first 3 decimals are identical.

The spelling of 149533520 in words is "one hundred forty-nine million, five hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1869169 3738338 7476676 9345845 14953352 18691690 29906704 37383380 74766760 149533520