Search a number
-
+
135297006 = 231322943107
BaseRepresentation
bin10000001000001…
…11011111101110
3100102120210121020
420010013133232
5234114001011
621231515010
73232001625
oct1004073756
9312523536
10135297006
116a40a709
1239388a66
1322051800
1413d7c6bc
15bd28006
hex81077ee

135297006 has 96 divisors (see below), whose sum is σ = 313061760. Its totient is φ = 38892672.

The previous prime is 135296983. The next prime is 135297023. The reversal of 135297006 is 600792531.

135297006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1264405 + ... + 1264511.

It is an arithmetic number, because the mean of its divisors is an integer number (3261060).

Almost surely, 2135297006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135297006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156530880).

135297006 is an abundant number, since it is smaller than the sum of its proper divisors (177764754).

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

135297006 is a wasteful number, since it uses less digits than its factorization.

135297006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 135297006 is about 11631.7241198371. The cubic root of 135297006 is about 513.3687107606.

The spelling of 135297006 in words is "one hundred thirty-five million, two hundred ninety-seven thousand, six".

Divisors: 1 2 3 6 13 26 29 39 43 58 78 86 87 107 129 169 174 214 258 321 338 377 507 559 642 754 1014 1118 1131 1247 1391 1677 2262 2494 2782 3103 3354 3741 4173 4601 4901 6206 7267 7482 8346 9202 9309 9802 13803 14534 14703 16211 18083 18618 21801 27606 29406 32422 36166 40339 43602 48633 54249 59813 80678 97266 108498 119626 121017 133429 179439 210743 242034 266858 358878 400287 421486 524407 632229 777569 800574 1048814 1264458 1555138 1573221 1734577 2332707 3146442 3469154 4665414 5203731 10407462 22549501 45099002 67648503 135297006