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10738413 = 35759107
BaseRepresentation
bin101000111101…
…101011101101
3202012120100000
4220331223231
510222112123
61022054513
7160163220
oct50755355
922176300
1010738413
116074a24
12371a439
1322bc9ba
1415d75b7
15e21b43
hexa3daed

10738413 has 48 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 5975856.

The previous prime is 10738393. The next prime is 10738487. The reversal of 10738413 is 31483701.

It is not a de Polignac number, because 10738413 - 29 = 10737901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10738213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100306 + ... + 100412.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 210738413 is an apocalyptic number.

It is an amenable number.

10738413 is a deficient number, since it is larger than the sum of its proper divisors (8131347).

10738413 is an equidigital number, since it uses as much as digits as its factorization.

10738413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10738413 is about 3276.9517848147. The cubic root of 10738413 is about 220.6209249248.

The spelling of 10738413 in words is "ten million, seven hundred thirty-eight thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 27 59 63 81 107 177 189 243 321 413 531 567 749 963 1239 1593 1701 2247 2889 3717 4779 6313 6741 8667 11151 14337 18939 20223 26001 33453 44191 56817 60669 100359 132573 170451 182007 397719 511353 1193157 1534059 3579471 10738413