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130444320 = 2535299371
BaseRepresentation
bin1111100011001…
…10110000100000
3100002110020222010
413301212300200
5231343204240
620535512520
73142521066
oct761466040
9302406863
10130444320
11676a5826
1237828740
1321042ab6
1413478036
15b6ba280
hex7c66c20

130444320 has 96 divisors (see below), whose sum is σ = 425113920. Its totient is φ = 33582080.

The previous prime is 130444283. The next prime is 130444331. The reversal of 130444320 is 23444031.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9235 + ... + 18605.

It is an arithmetic number, because the mean of its divisors is an integer number (4428270).

Almost surely, 2130444320 is an apocalyptic number.

130444320 is a gapful number since it is divisible by the number (10) 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 130444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212556960).

130444320 is an abundant number, since it is smaller than the sum of its proper divisors (294669600).

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

130444320 is a wasteful number, since it uses less digits than its factorization.

130444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 130444320 is about 11421.2223513948. Note that the first 3 decimals coincide. The cubic root of 130444320 is about 507.1561827957.

Adding to 130444320 its reverse (23444031), we get a palindrome (153888351).

The spelling of 130444320 in words is "one hundred thirty million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 9371 13920 18742 28113 37484 46855 56226 74968 93710 112452 140565 149936 187420 224904 271759 281130 299872 374840 449808 543518 562260 749680 815277 899616 1087036 1124520 1358795 1499360 1630554 2174072 2249040 2717590 3261108 4076385 4348144 4498080 5435180 6522216 8152770 8696288 10870360 13044432 16305540 21740720 26088864 32611080 43481440 65222160 130444320