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130152414 = 2373098867
BaseRepresentation
bin1111100000111…
…11011111011110
3100001220102112210
413300133133132
5231304334124
620525341250
73140164050
oct760373736
9301812483
10130152414
1167516487
1237707826
1320c6cc82
14133dd8d0
15b65da29
hex7c1f7de

130152414 has 16 divisors (see below), whose sum is σ = 297491328. Its totient is φ = 37186392.

The previous prime is 130152401. The next prime is 130152419. The reversal of 130152414 is 414251031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130152419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1549392 + ... + 1549475.

It is an arithmetic number, because the mean of its divisors is an integer number (18593208).

Almost surely, 2130152414 is an apocalyptic number.

130152414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130152414 is an abundant number, since it is smaller than the sum of its proper divisors (167338914).

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

130152414 is a wasteful number, since it uses less digits than its factorization.

130152414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098879.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 130152414 is about 11408.4360891404. The cubic root of 130152414 is about 506.7775985366. Note that the first 3 decimals are identical.

The spelling of 130152414 in words is "one hundred thirty million, one hundred fifty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 3098867 6197734 9296601 18593202 21692069 43384138 65076207 130152414