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2148536790 = 2325531493023
BaseRepresentation
bin1000000000010000…
…0001000111010110
312112201211222101200
42000010001013112
513400011134130
6553110333330
7104146155441
oct20004010726
95481758350
102148536790
11a0287a544
124bb65a246
1328318325a
141654c2658
15c8953760
hex801011d6

2148536790 has 96 divisors (see below), whose sum is σ = 5731689600. Its totient is φ = 558175488.

The previous prime is 2148536779. The next prime is 2148536869. The reversal of 2148536790 is 976358412.

2148536790 is a `hidden beast` number, since 2 + 1 + 48 + 536 + 79 + 0 = 666.

2148536790 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2148536790 is strictly pandigital in base 10.

It is a Curzon number.

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, 709219 + ... + 712241.

It is an arithmetic number, because the mean of its divisors is an integer number (59705100).

It is a 1-persistent number, because it is pandigital, but 2⋅2148536790 = 4297073580 is not.

Almost surely, 22148536790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148536790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865844800).

2148536790 is an abundant number, since it is smaller than the sum of its proper divisors (3583152810).

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

2148536790 is a wasteful number, since it uses less digits than its factorization.

2148536790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2148536790 is about 46352.3115928429. The cubic root of 2148536790 is about 1290.3700218504.

The spelling of 2148536790 in words is "two billion, one hundred forty-eight million, five hundred thirty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 149 159 265 298 318 447 477 530 745 795 894 954 1341 1490 1590 2235 2385 2682 3023 4470 4770 6046 6705 7897 9069 13410 15115 15794 18138 23691 27207 30230 39485 45345 47382 54414 71073 78970 90690 118455 136035 142146 160219 236910 272070 320438 355365 450427 480657 710730 801095 900854 961314 1351281 1441971 1602190 2252135 2403285 2702562 2883942 4053843 4504270 4806570 6756405 7209855 8107686 13512810 14419710 20269215 23872631 40538430 47745262 71617893 119363155 143235786 214853679 238726310 358089465 429707358 716178930 1074268395 2148536790