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130442844 = 223723107631
BaseRepresentation
bin1111100011001…
…10011001011100
3100002110011221110
413301212121130
5231343132334
620535502020
73142513560
oct761463134
9302404843
10130442844
11676a4704
1237827910
132104221c
14134776a0
15b6b9ae9
hex7c6665c

130442844 has 96 divisors (see below), whose sum is σ = 366944256. Its totient is φ = 35259840.

The previous prime is 130442831. The next prime is 130442863. The reversal of 130442844 is 448244031.

It is a congruent number.

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, 206409 + ... + 207039.

It is an arithmetic number, because the mean of its divisors is an integer number (3822336).

Almost surely, 2130442844 is an apocalyptic number.

130442844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130442844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183472128).

130442844 is an abundant number, since it is smaller than the sum of its proper divisors (236501412).

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

130442844 is a wasteful number, since it uses less digits than its factorization.

130442844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 130442844 is about 11421.1577346607. The cubic root of 130442844 is about 507.1542699352.

Adding to 130442844 its reverse (448244031), we get a palindrome (578686875).

The spelling of 130442844 in words is "one hundred thirty million, four hundred forty-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 107 138 161 214 276 321 322 428 483 631 642 644 749 966 1262 1284 1498 1893 1932 2247 2461 2524 2996 3786 4417 4494 4922 7383 7572 8834 8988 9844 13251 14513 14766 17227 17668 26502 29026 29532 34454 43539 51681 53004 58052 67517 68908 87078 101591 103362 135034 174156 202551 203182 206724 270068 304773 405102 406364 472619 609546 810204 945238 1219092 1417857 1552891 1890476 2835714 3105782 4658673 5671428 6211564 9317346 10870237 18634692 21740474 32610711 43480948 65221422 130442844