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136947024 = 243659199
BaseRepresentation
bin10000010100110…
…10010101010000
3100112200122000000
420022122111100
5240024301044
621331130000
73252013314
oct1012322520
9315618000
10136947024
1170337365
1239a43900
13224ab856
141428bb44
15c051d69
hex829a550

136947024 has 140 divisors (see below), whose sum is σ = 406596000. Its totient is φ = 44649792.

The previous prime is 136946987. The next prime is 136947029. The reversal of 136947024 is 420749631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136947024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136947029) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 688077 + ... + 688275.

Almost surely, 2136947024 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 136947024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203298000).

136947024 is an abundant number, since it is smaller than the sum of its proper divisors (269648976).

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

136947024 is an equidigital number, since it uses as much as digits as its factorization.

136947024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 136947024 is about 11702.4366693437. The cubic root of 136947024 is about 515.4472176516.

The spelling of 136947024 in words is "one hundred thirty-six million, nine hundred forty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 199 216 236 243 324 354 398 432 472 486 531 597 648 708 729 796 944 972 1062 1194 1296 1416 1458 1592 1593 1791 1944 2124 2388 2832 2916 3184 3186 3582 3888 4248 4776 4779 5373 5832 6372 7164 8496 9552 9558 10746 11664 11741 12744 14328 14337 16119 19116 21492 23482 25488 28656 28674 32238 35223 38232 42984 43011 46964 48357 57348 64476 70446 76464 85968 86022 93928 96714 105669 114696 128952 140892 145071 172044 187856 193428 211338 229392 257904 281784 290142 317007 344088 386856 422676 563568 580284 634014 688176 773712 845352 951021 1160568 1268028 1690704 1902042 2321136 2536056 2853063 3804084 5072112 5706126 7608168 8559189 11412252 15216336 17118378 22824504 34236756 45649008 68473512 136947024