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130471000 = 23531129409
BaseRepresentation
bin1111100011011…
…01010001011000
3100002111121120021
413301231101120
5231400033000
620540240224
73142661632
oct761552130
9302447507
10130471000
1167713880
1237840074
1321051c9a
1413483a52
15b6c311a
hex7c6d458

130471000 has 128 divisors (see below), whose sum is σ = 345384000. Its totient is φ = 45696000.

The previous prime is 130470997. The next prime is 130471049. The reversal of 130471000 is 174031.

It is a super-3 number, since 3×1304710003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318796 + ... + 319204.

Almost surely, 2130471000 is an apocalyptic number.

130471000 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 130471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172692000).

130471000 is an abundant number, since it is smaller than the sum of its proper divisors (214913000).

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

130471000 is a wasteful number, since it uses less digits than its factorization.

130471000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 130471000 is about 11422.3902927540. The cubic root of 130471000 is about 507.1907569459.

The spelling of 130471000 in words is "one hundred thirty million, four hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 409 440 500 550 580 638 725 818 1000 1100 1160 1276 1375 1450 1595 1636 2045 2200 2552 2750 2900 3190 3272 3625 4090 4499 5500 5800 6380 7250 7975 8180 8998 10225 11000 11861 12760 14500 15950 16360 17996 20450 22495 23722 29000 31900 35992 39875 40900 44990 47444 51125 59305 63800 79750 81800 89980 94888 102250 112475 118610 130471 159500 179960 204500 224950 237220 260942 296525 319000 409000 449900 474440 521884 562375 593050 652355 899800 1043768 1124750 1186100 1304710 1482625 2249500 2372200 2609420 2965250 3261775 4499000 5218840 5930500 6523550 11861000 13047100 16308875 26094200 32617750 65235500 130471000