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103184740 = 22531473541
BaseRepresentation
bin1100010011001…
…11100101100100
321012011022212001
412021213211210
5202403402430
614123335044
72362025101
oct611474544
9235138761
10103184740
115327724a
122a681484
13184ba279
14d9bdaa8
1590d33ca
hex6267964

103184740 has 48 divisors (see below), whose sum is σ = 228501504. Its totient is φ = 39081600.

The previous prime is 103184737. The next prime is 103184761. The reversal of 103184740 is 47481301.

It is a junction number, because it is equal to n+sod(n) for n = 103184699 and 103184708.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27370 + ... + 30910.

It is an arithmetic number, because the mean of its divisors is an integer number (4760448).

Almost surely, 2103184740 is an apocalyptic number.

103184740 is a gapful number since it is divisible by the number (10) 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 103184740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114250752).

103184740 is an abundant number, since it is smaller than the sum of its proper divisors (125316764).

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

103184740 is a wasteful number, since it uses less digits than its factorization.

103184740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 103184740 is about 10157.9889742015. The cubic root of 103184740 is about 469.0348990447.

The spelling of 103184740 in words is "one hundred three million, one hundred eighty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1457 2914 3541 5828 7082 7285 14164 14570 17705 29140 35410 70820 109771 166427 219542 332854 439084 548855 665708 832135 1097710 1664270 2195420 3328540 5159237 10318474 20636948 25796185 51592370 103184740