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103948290 = 23252334957
BaseRepresentation
bin1100011001000…
…10000000000010
321020121010020200
412030202000002
5203102321130
614151550030
72401355145
oct614420002
9236533220
10103948290
1153748986
122a98b316
13186c6984
14db3c05c
1591d4760
hex6322002

103948290 has 48 divisors (see below), whose sum is σ = 271480248. Its totient is φ = 27595008.

The previous prime is 103948241. The next prime is 103948307. The reversal of 103948290 is 92849301.

It can be written as a sum of positive squares in 4 ways, for example, as 85877289 + 18071001 = 9267^2 + 4251^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18492 + ... + 23448.

Almost surely, 2103948290 is an apocalyptic number.

103948290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103948290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135740124).

103948290 is an abundant number, since it is smaller than the sum of its proper divisors (167531958).

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

103948290 is a wasteful number, since it uses less digits than its factorization.

103948290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103948290 is about 10195.5034206262. The cubic root of 103948290 is about 470.1889839071.

The spelling of 103948290 in words is "one hundred three million, nine hundred forty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 466 699 1165 1398 2097 2330 3495 4194 4957 6990 9914 10485 14871 20970 24785 29742 44613 49570 74355 89226 148710 223065 446130 1154981 2309962 3464943 5774905 6929886 10394829 11549810 17324715 20789658 34649430 51974145 103948290