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130626720 = 25325712959
BaseRepresentation
bin1111100100100…
…11010010100000
3100002210112011200
413302103102200
5231420023340
620543441200
73144210630
oct762232240
9302715150
10130626720
116780a874
12378b6200
13210a7b23
14134c46c0
15b704330
hex7c934a0

130626720 has 144 divisors (see below), whose sum is σ = 509483520. Its totient is φ = 29855232.

The previous prime is 130626719. The next prime is 130626721. The reversal of 130626720 is 27626031.

It is a happy number.

130626720 is a `hidden beast` number, since 1 + 30 + 626 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130626719) and next prime (130626721).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (130626721) 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, 3601 + ... + 16559.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2130626720 is an apocalyptic number.

130626720 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 130626720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

130626720 is an abundant number, since it is smaller than the sum of its proper divisors (378856800).

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

130626720 is a wasteful number, since it uses less digits than its factorization.

130626720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12987 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130626720 is about 11429.2046967407. The cubic root of 130626720 is about 507.3924578198.

The spelling of 130626720 in words is "one hundred thirty million, six hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 12959 25918 38877 51836 64795 77754 90713 103672 116631 129590 155508 181426 194385 207344 233262 259180 272139 311016 362852 388770 414688 453565 466524 518360 544278 583155 622032 725704 777540 816417 907130 933048 1036720 1088556 1166310 1244064 1360695 1451408 1555080 1632834 1814260 1866096 2073440 2177112 2332620 2721390 2902816 3110160 3265668 3628520 3732192 4082085 4354224 4665240 5442780 6220320 6531336 7257040 8164170 8708448 9330480 10885560 13062672 14514080 16328340 18660960 21771120 26125344 32656680 43542240 65313360 130626720