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130340120 = 23531257409
BaseRepresentation
bin1111100010011…
…01010100011000
3100002020222000212
413301031110120
5231331340440
620533350252
73141605231
oct761152430
9302228025
10130340120
1167634509
1237798388
1321007541
141344c088
15b699465
hex7c4d518

130340120 has 64 divisors (see below), whose sum is σ = 304646400. Its totient is φ = 50135040.

The previous prime is 130340101. The next prime is 130340131. The reversal of 130340120 is 21043031.

It is a super-2 number, since 2×1303401202 = 33977093763228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130340095 and 130340104.

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, 318476 + ... + 318884.

It is an arithmetic number, because the mean of its divisors is an integer number (4760100).

Almost surely, 2130340120 is an apocalyptic number.

130340120 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 130340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152323200).

130340120 is an abundant number, since it is smaller than the sum of its proper divisors (174306280).

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

130340120 is a wasteful number, since it uses less digits than its factorization.

130340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130340120 is about 11416.6597566889. The cubic root of 130340120 is about 507.0211066404.

Adding to 130340120 its reverse (21043031), we get a palindrome (151383151).

The spelling of 130340120 in words is "one hundred thirty million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 257 310 409 514 620 818 1028 1240 1285 1636 2045 2056 2570 3272 4090 5140 7967 8180 10280 12679 15934 16360 25358 31868 39835 50716 63395 63736 79670 101432 105113 126790 159340 210226 253580 318680 420452 507160 525565 840904 1051130 2102260 3258503 4204520 6517006 13034012 16292515 26068024 32585030 65170060 130340120