Search a number
-
+
130090338 = 23271032463
BaseRepresentation
bin1111100000100…
…00010101100010
3100001210021101200
413300100111202
5231300342323
620524142030
73136515060
oct760202542
9301707350
10130090338
1167483884
1237697916
1320c4a941
14133c5030
15b64a443
hex7c10562

130090338 has 24 divisors (see below), whose sum is σ = 322128768. Its totient is φ = 37168632.

The previous prime is 130090333. The next prime is 130090343. The reversal of 130090338 is 833090031.

It is an interprime number because it is at equal distance from previous prime (130090333) and next prime (130090343).

It is a super-3 number, since 3×1300903383 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (130090333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516106 + ... + 516357.

It is an arithmetic number, because the mean of its divisors is an integer number (13422032).

Almost surely, 2130090338 is an apocalyptic number.

130090338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

130090338 is an abundant number, since it is smaller than the sum of its proper divisors (192038430).

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

130090338 is a wasteful number, since it uses less digits than its factorization.

130090338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032478 (or 1032475 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 130090338 is about 11405.7151463641. The cubic root of 130090338 is about 506.6970167838.

The spelling of 130090338 in words is "one hundred thirty million, ninety thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1032463 2064926 3097389 6194778 7227241 9292167 14454482 18584334 21681723 43363446 65045169 130090338