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130894080 = 283589383
BaseRepresentation
bin1111100110101…
…00100100000000
3100010022002220220
413303110210000
5232002102310
620553303040
73146403252
oct763244400
9303262826
10130894080
1167982729
1237a04a80
132116c725
1413553cd2
15b758670
hex7cd4900

130894080 has 144 divisors (see below), whose sum is σ = 423843840. Its totient is φ = 34422784.

The previous prime is 130894069. The next prime is 130894103. The reversal of 130894080 is 80498031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341569 + ... + 341951.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2130894080 is an apocalyptic number.

130894080 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 130894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

130894080 is an abundant number, since it is smaller than the sum of its proper divisors (292949760).

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

130894080 is an equidigital number, since it uses as much as digits as its factorization.

130894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 130894080 is about 11440.8950698798. The cubic root of 130894080 is about 507.7383901096.

The spelling of 130894080 in words is "one hundred thirty million, eight hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 128 160 178 192 240 256 267 320 356 383 384 445 480 534 640 712 766 768 890 960 1068 1149 1280 1335 1424 1532 1780 1915 1920 2136 2298 2670 2848 3064 3560 3830 3840 4272 4596 5340 5696 5745 6128 7120 7660 8544 9192 10680 11392 11490 12256 14240 15320 17088 18384 21360 22784 22980 24512 28480 30640 34087 34176 36768 42720 45960 49024 56960 61280 68174 68352 73536 85440 91920 98048 102261 113920 122560 136348 147072 170435 170880 183840 204522 245120 272696 294144 340870 341760 367680 409044 490240 511305 545392 681740 735360 818088 1022610 1090784 1363480 1470720 1636176 2045220 2181568 2726960 3272352 4090440 4363136 5453920 6544704 8180880 8726272 10907840 13089408 16361760 21815680 26178816 32723520 43631360 65447040 130894080