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129628026 = 23411217389
BaseRepresentation
bin1111011100111…
…11011101111010
3100000220210020000
413232133131322
5231141044101
620510213430
73132551163
oct756373572
9300823200
10129628026
1167198500
12374b4276
1320b18398
141330476a
15b5a8486
hex7b9f77a

129628026 has 120 divisors (see below), whose sum is σ = 338918580. Its totient is φ = 36875520.

The previous prime is 129628007. The next prime is 129628027. The reversal of 129628026 is 620826921.

It is a happy number.

129628026 is a `hidden beast` number, since 1 + 2 + 9 + 628 + 0 + 26 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129618225 + 9801 = 11385^2 + 99^2 .

It is not an unprimeable number, because it can be changed into a prime (129628027) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 333040 + ... + 333428.

Almost surely, 2129628026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129628026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169459290).

129628026 is an abundant number, since it is smaller than the sum of its proper divisors (209290554).

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

129628026 is a wasteful number, since it uses less digits than its factorization.

129628026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 129628026 is about 11385.4304266462. The cubic root of 129628026 is about 506.0960750147.

The spelling of 129628026 in words is "one hundred twenty-nine million, six hundred twenty-eight thousand, twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 121 153 162 187 198 242 297 306 363 374 389 459 561 594 726 778 891 918 1089 1122 1167 1377 1683 1782 2057 2178 2334 2754 3267 3366 3501 4114 4279 5049 6171 6534 6613 7002 8558 9801 10098 10503 12342 12837 13226 15147 18513 19602 19839 21006 25674 30294 31509 37026 38511 39678 47069 55539 59517 63018 72743 77022 94138 111078 115533 119034 141207 145486 166617 178551 218229 231066 282414 333234 346599 357102 423621 436458 535653 654687 693198 800173 847242 1071306 1270863 1309374 1600346 1964061 2400519 2541726 3812589 3928122 4801038 5892183 7201557 7625178 11784366 14403114 21604671 43209342 64814013 129628026