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13059774 = 23272131767
BaseRepresentation
bin110001110100…
…011010111110
3220120111122100
4301310122332
511320403044
61143525530
7216002100
oct61643276
926514570
1013059774
117410002
1244598a6
1329234a0
141a3d570
15122e869
hexc746be

13059774 has 144 divisors (see below), whose sum is σ = 38093328. Its totient is φ = 3193344.

The previous prime is 13059769. The next prime is 13059793. The reversal of 13059774 is 47795031.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194889 + ... + 194955.

It is an arithmetic number, because the mean of its divisors is an integer number (264537).

Almost surely, 213059774 is an apocalyptic number.

13059774 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 13059774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046664).

13059774 is an abundant number, since it is smaller than the sum of its proper divisors (25033554).

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

13059774 is a wasteful number, since it uses less digits than its factorization.

13059774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 13059774 is about 3613.8309312971. The cubic root of 13059774 is about 235.4932990642.

The spelling of 13059774 in words is "thirteen million, fifty-nine thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 49 51 63 67 78 91 98 102 117 119 126 134 147 153 182 201 221 234 238 273 294 306 357 402 441 442 469 546 603 637 663 714 819 833 871 882 938 1071 1139 1206 1274 1326 1407 1547 1638 1666 1742 1911 1989 2142 2278 2499 2613 2814 3094 3283 3417 3822 3978 4221 4641 4998 5226 5733 6097 6566 6834 7497 7839 7973 8442 9282 9849 10251 10829 11466 12194 13923 14807 14994 15678 15946 18291 19698 20502 21658 23919 27846 29547 29614 32487 36582 42679 44421 47838 54873 55811 59094 64974 71757 85358 88842 97461 103649 109746 111622 128037 133263 143514 167433 194922 207298 256074 266526 310947 334866 384111 502299 621894 725543 768222 932841 1004598 1451086 1865682 2176629 4353258 6529887 13059774