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13129746 = 2372173771
BaseRepresentation
bin110010000101…
…100000010010
3220201001121220
4302011200102
511330122441
61145225510
7216413100
oct62054022
926631556
1013129746
117458633
124492296
1329492a6
141a5ac70
151245466
hexc85812

13129746 has 96 divisors (see below), whose sum is σ = 33685632. Its totient is φ = 3386880.

The previous prime is 13129693. The next prime is 13129747. The reversal of 13129746 is 64792131.

Its product of digits (9072) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129747) 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, 184891 + ... + 184961.

It is an arithmetic number, because the mean of its divisors is an integer number (350892).

Almost surely, 213129746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13129746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842816).

13129746 is an abundant number, since it is smaller than the sum of its proper divisors (20555886).

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

13129746 is a wasteful number, since it uses less digits than its factorization.

13129746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 13129746 is about 3623.4991375741. The cubic root of 13129746 is about 235.9131275586.

The spelling of 13129746 in words is "thirteen million, one hundred twenty-nine thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 49 51 71 74 98 102 111 119 142 147 213 222 238 259 294 357 426 497 518 629 714 777 833 994 1207 1258 1491 1554 1666 1813 1887 2414 2499 2627 2982 3479 3621 3626 3774 4403 4998 5254 5439 6958 7242 7881 8449 8806 10437 10878 13209 15762 16898 18389 20874 25347 26418 30821 36778 44659 50694 55167 59143 61642 89318 92463 110334 118286 128723 133977 177429 184926 257446 267954 312613 354858 386169 625226 772338 937839 1875678 2188291 4376582 6564873 13129746