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13073634 = 23271943127
BaseRepresentation
bin110001110111…
…110011100010
3220121012122200
4301313303202
511321324014
61144114030
7216060360
oct61676342
926535580
1013073634
11741a462
124465916
1329298a2
141a44630
151233a09
hexc77ce2

13073634 has 96 divisors (see below), whose sum is σ = 35143680. Its totient is φ = 3429216.

The previous prime is 13073603. The next prime is 13073639. The reversal of 13073634 is 43637031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13073598 and 13073607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13073639) 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, 102879 + ... + 103005.

It is an arithmetic number, because the mean of its divisors is an integer number (366080).

Almost surely, 213073634 is an apocalyptic number.

13073634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13073634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571840).

13073634 is an abundant number, since it is smaller than the sum of its proper divisors (22070046).

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

13073634 is a wasteful number, since it uses less digits than its factorization.

13073634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 13073634 is about 3615.7480553822. The cubic root of 13073634 is about 235.5765772578.

The spelling of 13073634 in words is "thirteen million, seventy-three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 43 57 63 86 114 126 127 129 133 171 254 258 266 301 342 381 387 399 602 762 774 798 817 889 903 1143 1197 1634 1778 1806 2286 2394 2413 2451 2667 2709 4826 4902 5334 5418 5461 5719 7239 7353 8001 10922 11438 14478 14706 16002 16383 16891 17157 21717 32766 33782 34314 38227 43434 49149 50673 51471 76454 98298 101346 102942 103759 114681 152019 207518 229362 304038 311277 344043 622554 688086 726313 933831 1452626 1867662 2178939 4357878 6536817 13073634