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130270252 = 227172373163
BaseRepresentation
bin1111100001111…
…00010000101100
3100002010102012011
413300330100230
5231322122002
620532051004
73141164440
oct760742054
9302112164
10130270252
1167596a72
1237763a64
1320cb17b8
1413430820
15b6838d7
hex7c3c42c

130270252 has 96 divisors (see below), whose sum is σ = 293594112. Its totient is φ = 49268736.

The previous prime is 130270247. The next prime is 130270271. The reversal of 130270252 is 252072031.

It is a super-2 number, since 2×1302702522 = 33940677112287008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799123 + ... + 799285.

It is an arithmetic number, because the mean of its divisors is an integer number (3058272).

Almost surely, 2130270252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130270252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146797056).

130270252 is an abundant number, since it is smaller than the sum of its proper divisors (163323860).

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

130270252 is a wasteful number, since it uses less digits than its factorization.

130270252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 130270252 is about 11413.5994322562. The cubic root of 130270252 is about 506.9304952915.

The spelling of 130270252 in words is "one hundred thirty million, two hundred seventy thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 73 92 119 146 161 163 238 292 322 326 391 476 511 644 652 782 1022 1141 1241 1564 1679 2044 2282 2482 2737 2771 3358 3749 4564 4964 5474 5542 6716 7498 8687 10948 11084 11753 11899 14996 17374 19397 23506 23798 26243 28543 34748 38794 47012 47596 52486 57086 63733 77588 83293 104972 114172 127466 166586 199801 202283 254932 273677 333172 399602 404566 446131 547354 799204 809132 892262 1094708 1415981 1784524 1915739 2831962 3831478 4652509 5663924 7662956 9305018 18610036 32567563 65135126 130270252