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130260480 = 293572423
BaseRepresentation
bin1111100001110…
…01111000000000
3100002002220210020
413300321320000
5231321313410
620531533440
73141124110
oct760717000
9302086706
10130260480
116758a699
123775a280
1320caa20c
141342b040
15b680a70
hex7c39e00

130260480 has 160 divisors (see below), whose sum is σ = 476112384. Its totient is φ = 29761536.

The previous prime is 130260433. The next prime is 130260491. The reversal of 130260480 is 84062031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130260480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52549 + ... + 54971.

Almost surely, 2130260480 is an apocalyptic number.

130260480 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 130260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238056192).

130260480 is an abundant number, since it is smaller than the sum of its proper divisors (345851904).

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

130260480 is an equidigital number, since it uses as much as digits as its factorization.

130260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 130260480 is about 11413.1713384142. The cubic root of 130260480 is about 506.9178194667.

The spelling of 130260480 in words is "one hundred thirty million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2423 2560 2688 3360 3584 3840 4480 4846 5376 6720 7269 7680 8960 9692 10752 12115 13440 14538 16961 17920 19384 24230 26880 29076 33922 36345 38768 48460 50883 53760 58152 67844 72690 77536 84805 96920 101766 116304 135688 145380 155072 169610 193840 203532 232608 254415 271376 290760 310144 339220 387680 407064 465216 508830 542752 581520 620288 678440 775360 814128 930432 1017660 1085504 1163040 1240576 1356880 1550720 1628256 1860864 2035320 2171008 2326080 2713760 3101440 3256512 3721728 4070640 4342016 4652160 5427520 6202880 6513024 8141280 8684032 9304320 10855040 13026048 16282560 18608640 21710080 26052096 32565120 43420160 65130240 130260480