Search a number
-
+
1833419490 = 235767130307
BaseRepresentation
bin110110101000111…
…1100001011100010
311201202220100201120
41231101330023202
512223323410430
6501532313110
763301544220
oct15521741342
94652810646
101833419490
11860a10221
12432012796
13232ac1606
141356d5b10
15aae5a610
hex6d47c2e2

1833419490 has 64 divisors (see below), whose sum is σ = 5103903744. Its totient is φ = 412809408.

The previous prime is 1833419461. The next prime is 1833419503. The reversal of 1833419490 is 949143381.

1833419490 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×18334194902 = 6722854052623720200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51084 + ... + 79223.

It is an arithmetic number, because the mean of its divisors is an integer number (79748496).

Almost surely, 21833419490 is an apocalyptic number.

1833419490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1833419490 is an abundant number, since it is smaller than the sum of its proper divisors (3270484254).

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

1833419490 is a wasteful number, since it uses less digits than its factorization.

1833419490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130391.

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1833419490 is about 42818.4480101743. The cubic root of 1833419490 is about 1223.9225823028.

The spelling of 1833419490 in words is "one billion, eight hundred thirty-three million, four hundred nineteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 2010 2345 2814 4690 7035 14070 130307 260614 390921 651535 781842 912149 1303070 1824298 1954605 2736447 3909210 4560745 5472894 8730569 9121490 13682235 17461138 26191707 27364470 43652845 52383414 61113983 87305690 122227966 130958535 183341949 261917070 305569915 366683898 611139830 916709745 1833419490