Search a number
-
+
149007528 = 23322069549
BaseRepresentation
bin10001110000110…
…10110010101000
3101101101100220100
420320122302220
5301121220103
622441425400
73456354165
oct1070326250
9341340810
10149007528
117712461a
1241a9b260
1324b42247
1415b0b06c
15d1355a3
hex8e1aca8

149007528 has 24 divisors (see below), whose sum is σ = 403562250. Its totient is φ = 49669152.

The previous prime is 149007517. The next prime is 149007541. The reversal of 149007528 is 825700941.

It can be written as a sum of positive squares in only one way, i.e., 90668484 + 58339044 = 9522^2 + 7638^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 149007492 and 149007501.

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, 1034703 + ... + 1034846.

Almost surely, 2149007528 is an apocalyptic number.

149007528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149007528 is an abundant number, since it is smaller than the sum of its proper divisors (254554722).

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

149007528 is a wasteful number, since it uses less digits than its factorization.

149007528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069561 (or 2069554 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 149007528 is about 12206.8639707338. The cubic root of 149007528 is about 530.1548473617.

The spelling of 149007528 in words is "one hundred forty-nine million, seven thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2069549 4139098 6208647 8278196 12417294 16556392 18625941 24834588 37251882 49669176 74503764 149007528