Search a number
-
+
103115424 = 2533134649
BaseRepresentation
bin1100010010101…
…10101010100000
321012000210202210
412021112222200
5202344143144
614122042120
72361316026
oct611265240
9235023683
10103115424
115322a165
122a649340
1318494859
14d9a2716
1590bcab9
hex6256aa0

103115424 has 48 divisors (see below), whose sum is σ = 279417600. Its totient is φ = 33262080.

The previous prime is 103115399. The next prime is 103115443. The reversal of 103115424 is 424511301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 103115424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14349 + ... + 20300.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2103115424 is an apocalyptic number.

It is an amenable number.

103115424 is an abundant number, since it is smaller than the sum of its proper divisors (176302176).

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

103115424 is a wasteful number, since it uses less digits than its factorization.

103115424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34693 (or 34685 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 103115424 is about 10154.5765052020. The cubic root of 103115424 is about 468.9298482854.

Adding to 103115424 its reverse (424511301), we get a palindrome (527626725).

The spelling of 103115424 in words is "one hundred three million, one hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 34649 69298 103947 138596 207894 277192 415788 554384 831576 1074119 1108768 1663152 2148238 3222357 3326304 4296476 6444714 8592952 12889428 17185904 25778856 34371808 51557712 103115424