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103148240 = 2451399181
BaseRepresentation
bin1100010010111…
…10101011010000
321012002110210012
412021132223100
5202401220430
614122454052
72361513506
oct611365320
9235073705
10103148240
1153251888
122a664328
13184a6780
14d9b0676
1590c7695
hex625ead0

103148240 has 40 divisors (see below), whose sum is σ = 258269928. Its totient is φ = 38085120.

The previous prime is 103148237. The next prime is 103148249. The reversal of 103148240 is 42841301.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 102495376 = 808^2 + 10124^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103148249) 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 7 ways as a sum of consecutive naturals, for example, 48551 + ... + 50630.

Almost surely, 2103148240 is an apocalyptic number.

103148240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103148240 is an abundant number, since it is smaller than the sum of its proper divisors (155121688).

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

103148240 is a wasteful number, since it uses less digits than its factorization.

103148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99207 (or 99201 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 103148240 is about 10156.1921998355. The cubic root of 103148240 is about 468.9795879175.

Adding to 103148240 its reverse (42841301), we get a palindrome (145989541).

The spelling of 103148240 in words is "one hundred three million, one hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 99181 198362 396724 495905 793448 991810 1289353 1586896 1983620 2578706 3967240 5157412 6446765 7934480 10314824 12893530 20629648 25787060 51574120 103148240