Search a number
-
+
135030048 = 25317231157
BaseRepresentation
bin10000000110001…
…10010100100000
3100102002020101220
420003012110200
5234031430143
621222055040
73226510416
oct1003062440
9312066356
10135030048
116a24808a
123927a480
1321c8a14a
1413d0d2b6
15bcc3d83
hex80c6520

135030048 has 144 divisors (see below), whose sum is σ = 391152384. Its totient is φ = 40734720.

The previous prime is 135030043. The next prime is 135030059. The reversal of 135030048 is 840030531.

It is a super-2 number, since 2×1350300482 = 36466227725764608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (135030043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859986 + ... + 860142.

It is an arithmetic number, because the mean of its divisors is an integer number (2716336).

Almost surely, 2135030048 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 135030048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195576192).

135030048 is an abundant number, since it is smaller than the sum of its proper divisors (256122336).

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

135030048 is a wasteful number, since it uses less digits than its factorization.

135030048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135030048 is about 11620.2430267185. The cubic root of 135030048 is about 513.0308414442.

Adding to 135030048 its reverse (840030531), we get a palindrome (975060579).

The spelling of 135030048 in words is "one hundred thirty-five million, thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 157 186 204 248 272 289 314 372 408 471 496 527 544 578 628 744 816 867 942 992 1054 1156 1256 1488 1581 1632 1734 1884 2108 2312 2512 2669 2976 3162 3468 3768 4216 4624 4867 5024 5338 6324 6936 7536 8007 8432 8959 9248 9734 10676 12648 13872 14601 15072 16014 16864 17918 19468 21352 25296 26877 27744 29202 32028 35836 38936 42704 45373 50592 53754 58404 64056 71672 77872 82739 85408 90746 107508 116808 128112 136119 143344 155744 165478 181492 215016 233616 248217 256224 272238 286688 330956 362984 430032 467232 496434 544476 661912 725968 860064 992868 1088952 1323824 1406563 1451936 1985736 2177904 2647648 2813126 3971472 4219689 4355808 5626252 7942944 8439378 11252504 16878756 22505008 33757512 45010016 67515024 135030048