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130698540 = 223257472207
BaseRepresentation
bin1111100101001…
…00110100101100
3100002221011200200
413302210310230
5231424323130
620545153500
73144630210
oct762446454
9302834620
10130698540
1167859825
123792b890
132110171b
1413502940
15b71a760
hex7ca4d2c

130698540 has 144 divisors (see below), whose sum is σ = 462938112. Its totient is φ = 29225088.

The previous prime is 130698509. The next prime is 130698551. The reversal of 130698540 is 45896031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130698495 and 130698504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58117 + ... + 60323.

It is an arithmetic number, because the mean of its divisors is an integer number (3214848).

Almost surely, 2130698540 is an apocalyptic number.

130698540 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 130698540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231469056).

130698540 is an abundant number, since it is smaller than the sum of its proper divisors (332239572).

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

130698540 is a wasteful number, since it uses less digits than its factorization.

130698540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2271 counting only the distinct ones).

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

The square root of 130698540 is about 11432.3462158911. The cubic root of 130698540 is about 507.4854307578.

It can be divided in two parts, 13069 and 8540, that added together give a square (21609 = 1472).

The spelling of 130698540 in words is "one hundred thirty million, six hundred ninety-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 564 630 658 705 846 940 987 1260 1316 1410 1645 1692 1974 2115 2207 2820 2961 3290 3948 4230 4414 4935 5922 6580 6621 8460 8828 9870 11035 11844 13242 14805 15449 19740 19863 22070 26484 29610 30898 33105 39726 44140 46347 59220 61796 66210 77245 79452 92694 99315 103729 132420 139041 154490 185388 198630 207458 231735 278082 308980 311187 397260 414916 463470 518645 556164 622374 695205 726103 926940 933561 1037290 1244748 1390410 1452206 1555935 1867122 2074580 2178309 2780820 2904412 3111870 3630515 3734244 4356618 4667805 6223740 6534927 7261030 8713236 9335610 10891545 13069854 14522060 18671220 21783090 26139708 32674635 43566180 65349270 130698540