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130788720 = 24325373487
BaseRepresentation
bin1111100101110…
…10110101110000
3100010002202101200
413302322311300
5231440214340
620551131200
73145454136
oct762726560
9303082350
10130788720
1167910557
1237973b00
132113379a
1413527756
15b737330
hex7cbad70

130788720 has 120 divisors (see below), whose sum is σ = 441314016. Its totient is φ = 34712064.

The previous prime is 130788719. The next prime is 130788727. The reversal of 130788720 is 27887031.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130788727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268317 + ... + 268803.

Almost surely, 2130788720 is an apocalyptic number.

130788720 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 130788720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220657008).

130788720 is an abundant number, since it is smaller than the sum of its proper divisors (310525296).

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

130788720 is a wasteful number, since it uses less digits than its factorization.

130788720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 130788720 is about 11436.2896080853. The cubic root of 130788720 is about 507.6021229934.

The spelling of 130788720 in words is "one hundred thirty million, seven hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 373 487 720 746 974 1119 1461 1492 1865 1948 2238 2435 2922 2984 3357 3730 3896 4383 4476 4870 5595 5844 5968 6714 7305 7460 7792 8766 8952 9740 11190 11688 13428 14610 14920 16785 17532 17904 19480 21915 22380 23376 26856 29220 29840 33570 35064 38960 43830 44760 53712 58440 67140 70128 87660 89520 116880 134280 175320 181651 268560 350640 363302 544953 726604 908255 1089906 1453208 1634859 1816510 2179812 2724765 2906416 3269718 3633020 4359624 5449530 6539436 7266040 8174295 8719248 10899060 13078872 14532080 16348590 21798120 26157744 32697180 43596240 65394360 130788720