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130140440 = 235172353157
BaseRepresentation
bin1111100000111…
…00100100011000
3100001212211010022
413300130210120
5231303443230
620525210012
73140114123
oct760344430
9301784108
10130140440
1167508491
1237700908
1320c676a1
14133d93ba
15b65a1e5
hex7c1c918

130140440 has 128 divisors (see below), whose sum is σ = 331724160. Its totient is φ = 45686784.

The previous prime is 130140421. The next prime is 130140469. The reversal of 130140440 is 44041031.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828842 + ... + 828998.

It is an arithmetic number, because the mean of its divisors is an integer number (2591595).

Almost surely, 2130140440 is an apocalyptic number.

130140440 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 130140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165862080).

130140440 is an abundant number, since it is smaller than the sum of its proper divisors (201583720).

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

130140440 is a wasteful number, since it uses less digits than its factorization.

130140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 130140440 is about 11407.9112899777. The cubic root of 130140440 is about 506.7620569089.

Adding to 130140440 its reverse (44041031), we get a palindrome (174181471).

The spelling of 130140440 in words is "one hundred thirty million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 53 68 85 92 106 115 136 157 170 184 212 230 265 314 340 391 424 460 530 628 680 782 785 901 920 1060 1219 1256 1564 1570 1802 1955 2120 2438 2669 3128 3140 3604 3611 3910 4505 4876 5338 6095 6280 7208 7222 7820 8321 9010 9752 10676 12190 13345 14444 15640 16642 18020 18055 20723 21352 24380 26690 28888 33284 36040 36110 41446 41605 48760 53380 61387 66568 72220 82892 83210 103615 106760 122774 141457 144440 165784 166420 191383 207230 245548 282914 306935 332840 382766 414460 491096 565828 613870 707285 765532 828920 956915 1131656 1227740 1414570 1531064 1913830 2455480 2829140 3253511 3827660 5658280 6507022 7655320 13014044 16267555 26028088 32535110 65070220 130140440