Search a number
-
+
135598554 = 232713194357
BaseRepresentation
bin10000001010100…
…01000111011010
3100110011010020200
420011101013122
5234203123204
621242203030
73234366030
oct1005210732
9313133220
10135598554
116a5a6223
12394b3476
1322128b40
141401a550
15bd87539
hex81511da

135598554 has 96 divisors (see below), whose sum is σ = 380714880. Its totient is φ = 33872256.

The previous prime is 135598549. The next prime is 135598571. The reversal of 135598554 is 455895531.

135598554 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 98 + 554 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28944 + ... + 33300.

It is an arithmetic number, because the mean of its divisors is an integer number (3965780).

Almost surely, 2135598554 is an apocalyptic number.

135598554 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135598554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190357440).

135598554 is an abundant number, since it is smaller than the sum of its proper divisors (245116326).

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

135598554 is a wasteful number, since it uses less digits than its factorization.

135598554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4401 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 135598554 is about 11644.6792141304. The cubic root of 135598554 is about 513.7498240005.

The spelling of 135598554 in words is "one hundred thirty-five million, five hundred ninety-eight thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 171 182 234 247 266 273 342 399 494 546 741 798 819 1197 1482 1638 1729 2223 2394 3458 4357 4446 5187 8714 10374 13071 15561 26142 30499 31122 39213 56641 60998 78426 82783 91497 113282 165566 169923 182994 248349 274491 339846 396487 496698 509769 548982 579481 745047 792974 1019538 1076179 1158962 1189461 1490094 1738443 2152358 2378922 3228537 3476886 3568383 5215329 6457074 7136766 7533253 9685611 10430658 15066506 19371222 22599759 45199518 67799277 135598554