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129788946 = 23372181271
BaseRepresentation
bin1111011110001…
…10110000010010
3100001012221222000
413233012300102
5231211221241
620513454430
73134121300
oct757066022
9301187860
10129788946
11672983a1
1237571416
1320b736c1
1413347270
15b5daeb6
hex7bc6c12

129788946 has 96 divisors (see below), whose sum is σ = 338607360. Its totient is φ = 36741600.

The previous prime is 129788927. The next prime is 129788957. The reversal of 129788946 is 649887921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 129788892 and 129788901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478791 + ... + 479061.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2129788946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129788946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

129788946 is an abundant number, since it is smaller than the sum of its proper divisors (208818414).

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

129788946 is a wasteful number, since it uses less digits than its factorization.

129788946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 129788946 is about 11392.4951612893. The cubic root of 129788946 is about 506.3054106702.

The spelling of 129788946 in words is "one hundred twenty-nine million, seven hundred eighty-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 181 189 271 294 362 378 441 542 543 813 882 1086 1267 1323 1626 1629 1897 2439 2534 2646 3258 3794 3801 4878 4887 5691 7317 7602 8869 9774 11382 11403 13279 14634 17073 17738 22806 26558 26607 34146 34209 39837 49051 51219 53214 68418 79674 79821 98102 102438 119511 147153 159642 239022 239463 294306 343357 358533 441459 478926 686714 717066 882918 1030071 1324377 2060142 2403499 2648754 3090213 4806998 6180426 7210497 9270639 14420994 18541278 21631491 43262982 64894473 129788946