Search a number
-
+
2149786530 = 2325295315541
BaseRepresentation
bin1000000000100011…
…0010001110100010
312112211012110201100
42000020302032202
513400321132110
6553153215230
7104162612133
oct20010621642
95484173640
102149786530
11a03553491
124bbb61516
13283500048
14165729c8a
15c8aedbc0
hex802323a2

2149786530 has 96 divisors (see below), whose sum is σ = 5891661360. Its totient is φ = 543029760.

The previous prime is 2149786523. The next prime is 2149786549. The reversal of 2149786530 is 356879412.

2149786530 is a `hidden beast` number, since 2 + 1 + 49 + 78 + 6 + 530 = 666.

2149786530 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1503965961 + 645820569 = 38781^2 + 25413^2 .

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

2149786530 is strictly pandigital in base 10.

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, 130560 + ... + 146100.

It is a 1-persistent number, because it is pandigital, but 2⋅2149786530 = 4299573060 is not.

Almost surely, 22149786530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149786530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945830680).

2149786530 is an abundant number, since it is smaller than the sum of its proper divisors (3741874830).

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

2149786530 is a wasteful number, since it uses less digits than its factorization.

2149786530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15636 (or 15633 counting only the distinct ones).

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

The square root of 2149786530 is about 46365.7905141280. The cubic root of 2149786530 is about 1290.6201633214.

The spelling of 2149786530 in words is "two billion, one hundred forty-nine million, seven hundred eighty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 53 58 87 90 106 145 159 174 261 265 290 318 435 477 522 530 795 870 954 1305 1537 1590 2385 2610 3074 4611 4770 7685 9222 13833 15370 15541 23055 27666 31082 46110 46623 69165 77705 93246 138330 139869 155410 233115 279738 450689 466230 699345 823673 901378 1352067 1398690 1647346 2253445 2471019 2704134 4056201 4118365 4506890 4942038 6760335 7413057 8112402 8236730 12355095 13520670 14826114 20281005 23886517 24710190 37065285 40562010 47773034 71659551 74130570 119432585 143319102 214978653 238865170 358297755 429957306 716595510 1074893265 2149786530