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130859064 = 23347171697
BaseRepresentation
bin1111100110011…
…00000000111000
3100010020022220000
413303030000320
5231444442224
620552433000
73146166210
oct763140070
9303208800
10130859064
1167959396
12379a8760
13211597cb
1413545240
15b74d0c9
hex7ccc038

130859064 has 160 divisors (see below), whose sum is σ = 443789280. Its totient is φ = 35168256.

The previous prime is 130859063. The next prime is 130859077. The reversal of 130859064 is 460958031.

130859064 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 590 + 64 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130859063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76264 + ... + 77960.

It is an arithmetic number, because the mean of its divisors is an integer number (2773683).

Almost surely, 2130859064 is an apocalyptic number.

130859064 is a gapful number since it is divisible by the number (14) 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 130859064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894640).

130859064 is an abundant number, since it is smaller than the sum of its proper divisors (312930216).

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

130859064 is a wasteful number, since it uses less digits than its factorization.

130859064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130859064 is about 11439.3646676728. The cubic root of 130859064 is about 507.6931103611.

The spelling of 130859064 in words is "one hundred thirty million, eight hundred fifty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 408 459 476 504 567 612 648 714 756 918 952 1071 1134 1224 1377 1428 1512 1697 1836 2142 2268 2754 2856 3213 3394 3672 4284 4536 5091 5508 6426 6788 8568 9639 10182 11016 11879 12852 13576 15273 19278 20364 23758 25704 28849 30546 35637 38556 40728 45819 47516 57698 61092 71274 77112 86547 91638 95032 106911 115396 122184 137457 142548 173094 183276 201943 213822 230792 259641 274914 285096 320733 346188 366552 403886 427644 519282 549828 605829 641466 692376 778923 807772 855288 962199 1038564 1099656 1211658 1282932 1557846 1615544 1817487 1924398 2077128 2336769 2423316 2565864 3115692 3634974 3848796 4673538 4846632 5452461 6231384 7269948 7697592 9347076 10904922 14539896 16357383 18694152 21809844 32714766 43619688 65429532 130859064