Search a number
-
+
2134058454 = 23311191731093
BaseRepresentation
bin111111100110011…
…0010010111010110
312111201121101212000
41333030302113112
513332304332304
6551432140130
7103612124523
oct17714622726
95451541760
102134058454
119a5690780
124b6837646
132801841a8
141635d414a
15c7543939
hex7f3325d6

2134058454 has 128 divisors (see below), whose sum is σ = 5482252800. Its totient is φ = 608549760.

The previous prime is 2134058413. The next prime is 2134058461. The reversal of 2134058454 is 4548504312.

It is a happy number.

2134058454 is a `hidden beast` number, since 21 + 3 + 4 + 0 + 584 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1951932 + ... + 1953024.

It is an arithmetic number, because the mean of its divisors is an integer number (42830100).

Almost surely, 22134058454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134058454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741126400).

2134058454 is an abundant number, since it is smaller than the sum of its proper divisors (3348194346).

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

2134058454 is a wasteful number, since it uses less digits than its factorization.

2134058454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2134058454 is about 46195.8705297346. The cubic root of 2134058454 is about 1287.4650163492.

The spelling of 2134058454 in words is "two billion, one hundred thirty-four million, fifty-eight thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 173 198 209 297 342 346 418 513 519 594 627 1026 1038 1093 1254 1557 1881 1903 2186 3114 3279 3287 3762 3806 4671 5643 5709 6558 6574 9342 9837 9861 11286 11418 12023 17127 19674 19722 20767 24046 29511 29583 34254 36069 36157 41534 51381 59022 59166 62301 72138 72314 88749 102762 108207 108471 124602 177498 186903 189089 216414 216942 228437 324621 325413 373806 378178 456874 560709 567267 649242 650826 685311 976239 1121418 1134534 1370622 1701801 1952478 2055933 2079979 3403602 3592691 4111866 4159958 5105403 6167799 6239937 7185382 10210806 10778073 12335598 12479874 18719811 21556146 32334219 37439622 39519601 56159433 64668438 79039202 97002657 112318866 118558803 194005314 237117606 355676409 711352818 1067029227 2134058454