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130083000 = 23353131331
BaseRepresentation
bin1111100000011…
…10100010111000
3100001202220022220
413300032202320
5231300124000
620524044040
73136454505
oct760164270
9301686286
10130083000
1167479313
1237693620
1320c474b8
14133c24ac
15b6481a0
hex7c0e8b8

130083000 has 128 divisors (see below), whose sum is σ = 410192640. Its totient is φ = 34320000.

The previous prime is 130082999. The next prime is 130083017. The reversal of 130083000 is 380031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392835 + ... + 393165.

It is an arithmetic number, because the mean of its divisors is an integer number (3204630).

Almost surely, 2130083000 is an apocalyptic number.

130083000 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 130083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205096320).

130083000 is an abundant number, since it is smaller than the sum of its proper divisors (280109640).

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

130083000 is a wasteful number, since it uses less digits than its factorization.

130083000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130083000 is about 11405.3934609903. The cubic root of 130083000 is about 506.6874895259.

The spelling of 130083000 in words is "one hundred thirty million, eighty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 331 375 393 500 524 600 655 662 750 786 993 1000 1048 1310 1324 1500 1572 1655 1965 1986 2620 2648 3000 3144 3275 3310 3930 3972 4965 5240 6550 6620 7860 7944 8275 9825 9930 13100 13240 15720 16375 16550 19650 19860 24825 26200 32750 33100 39300 39720 41375 43361 49125 49650 65500 66200 78600 82750 86722 98250 99300 124125 130083 131000 165500 173444 196500 198600 216805 248250 260166 331000 346888 393000 433610 496500 520332 650415 867220 993000 1040664 1084025 1300830 1734440 2168050 2601660 3252075 4336100 5203320 5420125 6504150 8672200 10840250 13008300 16260375 21680500 26016600 32520750 43361000 65041500 130083000