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130330440 = 23325715099
BaseRepresentation
bin1111100010010…
…10111101001000
3100002020110202100
413301022331020
5231331033230
620533233400
73141535062
oct761127510
9302213670
10130330440
1167628209
1237792860
1321003006
1413448732
15b696660
hex7c4af48

130330440 has 96 divisors (see below), whose sum is σ = 429624000. Its totient is φ = 34258560.

The previous prime is 130330433. The next prime is 130330451. The reversal of 130330440 is 44033031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23011 + ... + 28109.

It is an arithmetic number, because the mean of its divisors is an integer number (4475250).

Almost surely, 2130330440 is an apocalyptic number.

130330440 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 130330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214812000).

130330440 is an abundant number, since it is smaller than the sum of its proper divisors (299293560).

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

130330440 is a wasteful number, since it uses less digits than its factorization.

130330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 130330440 is about 11416.2358069549. The cubic root of 130330440 is about 507.0085546448.

Adding to 130330440 its reverse (44033031), we get a palindrome (174363471).

The spelling of 130330440 in words is "one hundred thirty million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5099 5112 6390 8520 10198 12780 15297 20396 25495 25560 30594 40792 45891 50990 61188 76485 91782 101980 122376 152970 183564 203960 229455 305940 362029 367128 458910 611880 724058 917820 1086087 1448116 1810145 1835640 2172174 2896232 3258261 3620290 4344348 5430435 6516522 7240580 8688696 10860870 13033044 14481160 16291305 21721740 26066088 32582610 43443480 65165220 130330440