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130631760 = 24325725919
BaseRepresentation
bin1111100100101…
…00100001010000
3100002210210002100
413302110201100
5231420204020
620543520400
73144231420
oct762244120
9302723070
10130631760
1167813636
12378b9100
13210aa1cc
14134c6480
15b705a90
hex7c94850

130631760 has 120 divisors (see below), whose sum is σ = 501396480. Its totient is φ = 29857536.

The previous prime is 130631749. The next prime is 130631771. The reversal of 130631760 is 67136031.

It is an interprime number because it is at equal distance from previous prime (130631749) and next prime (130631771).

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 7920 + ... + 17999.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2130631760 is an apocalyptic number.

130631760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130631760 is an abundant number, since it is smaller than the sum of its proper divisors (370764720).

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

130631760 is a wasteful number, since it uses less digits than its factorization.

130631760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25945 (or 25936 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 130631760 is about 11429.4251823965. The cubic root of 130631760 is about 507.3989833482.

Adding to 130631760 its reverse (67136031), we get a palindrome (197767791).

The spelling of 130631760 in words is "one hundred thirty million, six hundred thirty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 25919 51838 77757 103676 129595 155514 181433 207352 233271 259190 311028 362866 388785 414704 466542 518380 544299 622056 725732 777570 907165 933084 1036760 1088598 1166355 1244112 1451464 1555140 1632897 1814330 1866168 2073520 2177196 2332710 2721495 2902928 3110280 3265794 3628660 3732336 4354392 4665420 5442990 6220560 6531588 7257320 8164485 8708784 9330840 10885980 13063176 14514640 16328970 18661680 21771960 26126352 32657940 43543920 65315880 130631760