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10413744 = 243113163
BaseRepresentation
bin100111101110…
…011010110000
3201121001222020
4213232122300
510131214434
61011111440
7154341525
oct47563260
921531866
1010413744
115973000
1235a2580
132207ca3
14155114c
15daa849
hex9ee6b0

10413744 has 80 divisors (see below), whose sum is σ = 29771904. Its totient is φ = 3136320.

The previous prime is 10413727. The next prime is 10413757. The reversal of 10413744 is 44731401.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 63807 + ... + 63969.

Almost surely, 210413744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885952).

10413744 is an abundant number, since it is smaller than the sum of its proper divisors (19358160).

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

10413744 is a wasteful number, since it uses less digits than its factorization.

10413744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10413744 is about 3227.0333125024. The cubic root of 10413744 is about 218.3746887974.

The spelling of 10413744 in words is "ten million, four hundred thirteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 163 176 242 264 326 363 484 489 528 652 726 968 978 1304 1331 1452 1793 1936 1956 2608 2662 2904 3586 3912 3993 5324 5379 5808 7172 7824 7986 10648 10758 14344 15972 19723 21296 21516 28688 31944 39446 43032 59169 63888 78892 86064 118338 157784 216953 236676 315568 433906 473352 650859 867812 946704 1301718 1735624 2603436 3471248 5206872 10413744