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130019440 = 2454993257
BaseRepresentation
bin1111011111111…
…11000001110000
3100001122200010211
413233333001300
5231241110230
620522433504
73136101265
oct757770160
9301580124
10130019440
1167435591
1237662894
1320c245a5
14133a726c
15b63442a
hex7bff070

130019440 has 40 divisors (see below), whose sum is σ = 302994000. Its totient is φ = 51887616.

The previous prime is 130019429. The next prime is 130019447. The reversal of 130019440 is 44910031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130019447) 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 7 ways as a sum of consecutive naturals, for example, 38292 + ... + 41548.

It is an arithmetic number, because the mean of its divisors is an integer number (7574850).

Almost surely, 2130019440 is an apocalyptic number.

130019440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130019440 is an abundant number, since it is smaller than the sum of its proper divisors (172974560).

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

130019440 is a wasteful number, since it uses less digits than its factorization.

130019440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 130019440 is about 11402.6067195181. The cubic root of 130019440 is about 506.6049517013.

Adding to 130019440 its reverse (44910031), we get a palindrome (174929471).

It can be divided in two parts, 1 and 30019440, that added together give a square (30019441 = 54792).

The spelling of 130019440 in words is "one hundred thirty million, nineteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 499 998 1996 2495 3257 3992 4990 6514 7984 9980 13028 16285 19960 26056 32570 39920 52112 65140 130280 260560 1625243 3250486 6500972 8126215 13001944 16252430 26003888 32504860 65009720 130019440