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103427472 = 243592619
BaseRepresentation
bin1100010101000…
…10110110010000
321012121122211010
412022202312100
5202434134342
614132450520
72364055551
oct612426620
9235548733
10103427472
1153422655
122a779a40
13185738b5
14da44328
15913029c
hex62a2d90

103427472 has 60 divisors (see below), whose sum is σ = 272232080. Its totient is φ = 33836736.

The previous prime is 103427459. The next prime is 103427477. The reversal of 103427472 is 274724301.

It is not an unprimeable number, because it can be changed into a prime (103427477) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 166779 + ... + 167397.

Almost surely, 2103427472 is an apocalyptic number.

103427472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103427472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116040).

103427472 is an abundant number, since it is smaller than the sum of its proper divisors (168804608).

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

103427472 is an equidigital number, since it uses as much as digits as its factorization.

103427472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 103427472 is about 10169.9297932680. The cubic root of 103427472 is about 469.4023972559.

The spelling of 103427472 in words is "one hundred three million, four hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 619 708 944 1238 1416 1857 2476 2832 3481 3714 4952 6962 7428 9904 10443 13924 14856 20886 27848 29712 36521 41772 55696 73042 83544 109563 146084 167088 219126 292168 438252 584336 876504 1753008 2154739 4309478 6464217 8618956 12928434 17237912 25856868 34475824 51713736 103427472