Search a number
-
+
129834936 = 233271122129
BaseRepresentation
bin1111011110100…
…01111110111000
3100001022022001100
413233101332320
5231214204221
620514451400
73134402340
oct757217670
9301268040
10129834936
1167319a00
1237593b60
1320b8b60a
1413359d20
15b5e9926
hex7bd1fb8

129834936 has 144 divisors (see below), whose sum is σ = 441932400. Its totient is φ = 33707520.

The previous prime is 129834917. The next prime is 129834937. The reversal of 129834936 is 639438921.

It is a happy number.

It is a super-2 number, since 2×1298349362 = 33714221212248192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129834891 and 129834900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129834937) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59920 + ... + 62048.

It is an arithmetic number, because the mean of its divisors is an integer number (3068975).

Almost surely, 2129834936 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 129834936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220966200).

129834936 is an abundant number, since it is smaller than the sum of its proper divisors (312097464).

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

129834936 is a wasteful number, since it uses less digits than its factorization.

129834936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2152 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 129834936 is about 11394.5134165527. The cubic root of 129834936 is about 506.3652057883.

The spelling of 129834936 in words is "one hundred twenty-nine million, eight hundred thirty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 2129 2178 2541 2772 2904 3388 4258 4356 5082 5544 6387 6776 7623 8516 8712 10164 12774 14903 15246 17032 19161 20328 23419 25548 29806 30492 38322 44709 46838 51096 59612 60984 70257 76644 89418 93676 119224 134127 140514 153288 163933 178836 187352 210771 257609 268254 281028 327866 357672 421542 491799 515218 536508 562056 655732 772827 843084 983598 1030436 1073016 1311464 1475397 1545654 1686168 1803263 1967196 2060872 2318481 2950794 3091308 3606526 3934392 4636962 5409789 5901588 6182616 7213052 9273924 10819578 11803176 14426104 16229367 18547848 21639156 32458734 43278312 64917468 129834936