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1520132148 = 223242225893
BaseRepresentation
bin101101010011011…
…0110000000110100
310220221101201021200
41122212312000310
511103123212043
6410501412500
752445624103
oct13246660064
93827351250
101520132148
11710090867
1236510a130
131b2c208a2
14105c6403a
158d6c47d3
hex5a9b6034

1520132148 has 18 divisors (see below), whose sum is σ = 3842556354. Its totient is φ = 506710704.

The previous prime is 1520132147. The next prime is 1520132149. The reversal of 1520132148 is 8412310251.

1520132148 is a `hidden beast` number, since 1 + 520 + 132 + 1 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1520132147) and next prime (1520132149).

It can be written as a sum of positive squares in only one way, i.e., 1519596324 + 535824 = 38982^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520132147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21112911 + ... + 21112982.

It is an arithmetic number, because the mean of its divisors is an integer number (213475353).

Almost surely, 21520132148 is an apocalyptic number.

1520132148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1520132148 is an abundant number, since it is smaller than the sum of its proper divisors (2322424206).

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

1520132148 is a wasteful number, since it uses less digits than its factorization.

1520132148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42225903 (or 42225898 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1520132148 is about 38988.8721047429. The cubic root of 1520132148 is about 1149.8127352291.

Adding to 1520132148 its reverse (8412310251), we get a palindrome (9932442399).

The spelling of 1520132148 in words is "one billion, five hundred twenty million, one hundred thirty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 42225893 84451786 126677679 168903572 253355358 380033037 506710716 760066074 1520132148