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130332000 = 2535310861
BaseRepresentation
bin1111100010010…
…11010101100000
3100002020112220010
413301023111200
5231331111000
620533244520
73141542451
oct761132540
9302215803
10130332000
11676293a7
1237793740
1321003936
1413449128
15b696d50
hex7c4b560

130332000 has 96 divisors (see below), whose sum is σ = 427006944. Its totient is φ = 34752000.

The previous prime is 130331983. The next prime is 130332043. The reversal of 130332000 is 233031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 6570 + ... + 17430.

It is an arithmetic number, because the mean of its divisors is an integer number (4447989).

Almost surely, 2130332000 is an apocalyptic number.

130332000 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 130332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213503472).

130332000 is an abundant number, since it is smaller than the sum of its proper divisors (296674944).

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

130332000 is a wasteful number, since it uses less digits than its factorization.

130332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10889 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 130332000 is about 11416.3041304969. The cubic root of 130332000 is about 507.0105775291.

Adding to 130332000 its reverse (233031), we get a palindrome (130565031).

The spelling of 130332000 in words is "one hundred thirty million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 10861 12000 21722 32583 43444 54305 65166 86888 108610 130332 162915 173776 217220 260664 271525 325830 347552 434440 521328 543050 651660 814575 868880 1042656 1086100 1303320 1357625 1629150 1737760 2172200 2606640 2715250 3258300 4072875 4344400 5213280 5430500 6516600 8145750 8688800 10861000 13033200 16291500 21722000 26066400 32583000 43444000 65166000 130332000