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130734080 = 211517751
BaseRepresentation
bin1111100101011…
…01100000000000
3100002222222102222
413302231200000
5231431442310
620550030212
73145135631
oct762554000
9302888388
10130734080
11678834a4
1237948368
1321114959
1413511888
15b726055
hex7cad800

130734080 has 96 divisors (see below), whose sum is σ = 332579520. Its totient is φ = 49152000.

The previous prime is 130734053. The next prime is 130734127. The reversal of 130734080 is 80437031.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 173705 + ... + 174455.

It is an arithmetic number, because the mean of its divisors is an integer number (3464370).

Almost surely, 2130734080 is an apocalyptic number.

130734080 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 130734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289760).

130734080 is an abundant number, since it is smaller than the sum of its proper divisors (201845440).

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

130734080 is an equidigital number, since it uses as much as digits as its factorization.

130734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 130734080 is about 11433.9004718425. The cubic root of 130734080 is about 507.5314256548.

The spelling of 130734080 in words is "one hundred thirty million, seven hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 751 1024 1088 1280 1360 1502 2048 2176 2560 2720 3004 3755 4352 5120 5440 6008 7510 8704 10240 10880 12016 12767 15020 17408 21760 24032 25534 30040 34816 43520 48064 51068 60080 63835 87040 96128 102136 120160 127670 174080 192256 204272 240320 255340 384512 408544 480640 510680 769024 817088 961280 1021360 1538048 1634176 1922560 2042720 3268352 3845120 4085440 6536704 7690240 8170880 13073408 16341760 26146816 32683520 65367040 130734080