Search a number
-
+
1830508152 = 2331120633361
BaseRepresentation
bin110110100011011…
…0101011001111000
311201120102110010020
41231012311121320
512222102230102
6501350050440
763235030314
oct15506653170
94646373106
101830508152
1185a301960
12431049a20
13232312425
14135178b44
15aaa82bbc
hex6d1b5678

1830508152 has 64 divisors (see below), whose sum is σ = 4996200960. Its totient is φ = 554265600.

The previous prime is 1830508129. The next prime is 1830508157. The reversal of 1830508152 is 2518050381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830508157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542952 + ... + 546312.

It is an arithmetic number, because the mean of its divisors is an integer number (78065640).

Almost surely, 21830508152 is an apocalyptic number.

1830508152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1830508152 is an abundant number, since it is smaller than the sum of its proper divisors (3165692808).

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

1830508152 is a wasteful number, since it uses less digits than its factorization.

1830508152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 1830508152 is about 42784.4381989527. The cubic root of 1830508152 is about 1223.2744054816.

The spelling of 1830508152 in words is "one billion, eight hundred thirty million, five hundred eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2063 3361 4126 6189 6722 8252 10083 12378 13444 16504 20166 22693 24756 26888 36971 40332 45386 49512 68079 73942 80664 90772 110913 136158 147884 181544 221826 272316 295768 443652 544632 887304 6933743 13867486 20801229 27734972 41602458 55469944 76271173 83204916 152542346 166409832 228813519 305084692 457627038 610169384 915254076 1830508152