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130424574 = 23725973103
BaseRepresentation
bin1111100011000…
…01111011111110
3100002102020212210
413301201323332
5231342041244
620535241250
73142406400
oct761417376
9302366783
10130424574
1167691a05
1237819226
1321036b07
1413470b70
15b6b44b9
hex7c61efe

130424574 has 96 divisors (see below), whose sum is σ = 315843840. Its totient is φ = 35779968.

The previous prime is 130424563. The next prime is 130424579. The reversal of 130424574 is 475424031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130424579) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266207 + ... + 1266309.

It is an arithmetic number, because the mean of its divisors is an integer number (3290040).

Almost surely, 2130424574 is an apocalyptic number.

130424574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130424574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157921920).

130424574 is an abundant number, since it is smaller than the sum of its proper divisors (185419266).

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

130424574 is a wasteful number, since it uses less digits than its factorization.

130424574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 130424574 is about 11420.3578753032. The cubic root of 130424574 is about 507.1305912602.

It can be divided in two parts, 1304 and 24574, that added together give a triangular number (25878 = T227).

The spelling of 130424574 in words is "one hundred thirty million, four hundred twenty-four thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 59 73 98 103 118 146 147 177 206 219 294 309 354 413 438 511 618 721 826 1022 1239 1442 1533 2163 2478 2891 3066 3577 4307 4326 5047 5782 6077 7154 7519 8614 8673 10094 10731 12154 12921 15038 15141 17346 18231 21462 22557 25842 30149 30282 36462 42539 45114 52633 60298 85078 90447 105266 127617 157899 180894 211043 255234 297773 315798 368431 422086 443621 595546 633129 736862 887242 893319 1105293 1266258 1330863 1786638 2210586 2661726 3105347 6210694 9316041 18632082 21737429 43474858 65212287 130424574