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130258640 = 24541151263
BaseRepresentation
bin1111100001110…
…01011011010000
3100002002211021002
413300321123100
5231321234030
620531521132
73141115541
oct760713320
9302084232
10130258640
1167589276
12377591a8
1320ca9425
141342a4c8
15b680245
hex7c396d0

130258640 has 80 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 50304000.

The previous prime is 130258619. The next prime is 130258649. The reversal of 130258640 is 46852031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130258649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495149 + ... + 495411.

Almost surely, 2130258640 is an apocalyptic number.

130258640 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 130258640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

130258640 is an abundant number, since it is smaller than the sum of its proper divisors (183221296).

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

130258640 is a wasteful number, since it uses less digits than its factorization.

130258640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 130258640 is about 11413.0907295088. The cubic root of 130258640 is about 506.9154326256.

The spelling of 130258640 in words is "one hundred thirty million, two hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 151 164 205 263 302 328 410 526 604 656 755 820 1052 1208 1315 1510 1640 2104 2416 2630 3020 3280 4208 5260 6040 6191 10520 10783 12080 12382 21040 21566 24764 30955 39713 43132 49528 53915 61910 79426 86264 99056 107830 123820 158852 172528 198565 215660 247640 317704 397130 431320 495280 635408 794260 862640 1588520 1628233 3177040 3256466 6512932 8141165 13025864 16282330 26051728 32564660 65129320 130258640