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103044006 = 23213617219
BaseRepresentation
bin1100010010001…
…01001110100110
321011220011210200
412021011032212
5202334402011
614120331330
72360600562
oct611051646
9234804720
10103044006
115319053a
122a613b46
131846b1b0
14d9846a2
1590a6856
hex62453a6

103044006 has 48 divisors (see below), whose sum is σ = 244411440. Its totient is φ = 31181760.

The previous prime is 103043977. The next prime is 103044013. The reversal of 103044006 is 600440301.

103044006 = T59 + T60 + ... + T851.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103044006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10665 + ... + 17883.

It is an arithmetic number, because the mean of its divisors is an integer number (5091905).

Almost surely, 2103044006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103044006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122205720).

103044006 is an abundant number, since it is smaller than the sum of its proper divisors (141367434).

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

103044006 is a wasteful number, since it uses less digits than its factorization.

103044006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7301 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103044006 is about 10151.0593535847. The cubic root of 103044006 is about 468.8215626209.

Adding to 103044006 its reverse (600440301), we get a palindrome (703484307).

The spelling of 103044006 in words is "one hundred three million, forty-four thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 7219 14274 14438 21657 43314 64971 93847 129942 187694 281541 440359 563082 844623 880718 1321077 1689246 2642154 3963231 5724667 7926462 11449334 17174001 34348002 51522003 103044006