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103148032 = 291315497
BaseRepresentation
bin1100010010111…
…10101000000000
321012002110111111
412021132220000
5202401214112
614122453104
72361513061
oct611365000
9235073444
10103148032
1153251709
122a664194
13184a6650
14d9b0568
1590c75a7
hex625ea00

103148032 has 40 divisors (see below), whose sum is σ = 221962356. Its totient is φ = 47603712.

The previous prime is 103148029. The next prime is 103148039. The reversal of 103148032 is 230841301.

It can be written as a sum of positive squares in 2 ways, for example, as 101929216 + 1218816 = 10096^2 + 1104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103147994 and 103148012.

It is not an unprimeable number, because it can be changed into a prime (103148039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1093 + ... + 14404.

Almost surely, 2103148032 is an apocalyptic number.

It is an amenable number.

103148032 is an abundant number, since it is smaller than the sum of its proper divisors (118814324).

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

103148032 is an equidigital number, since it uses as much as digits as its factorization.

103148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15528 (or 15512 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 103148032 is about 10156.1819597721. The cubic root of 103148032 is about 468.9792726825.

Adding to 103148032 its reverse (230841301), we get a palindrome (333989333).

The spelling of 103148032 in words is "one hundred three million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 15497 30994 61988 123976 201461 247952 402922 495904 805844 991808 1611688 1983616 3223376 3967232 6446752 7934464 12893504 25787008 51574016 103148032