Search a number
-
+
130831120 = 2457307761
BaseRepresentation
bin1111100110001…
…01001100010000
3100010011220120001
413303011030100
5231443043440
620552055344
73146021560
oct763051420
9303156501
10130831120
116793a3a2
1237994554
1321149b84
1413538da0
15b744b9a
hex7cc5310

130831120 has 80 divisors (see below), whose sum is σ = 349227648. Its totient is φ = 44651520.

The previous prime is 130831117. The next prime is 130831139. The reversal of 130831120 is 21138031.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171540 + ... + 172300.

Almost surely, 2130831120 is an apocalyptic number.

130831120 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 130831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174613824).

130831120 is an abundant number, since it is smaller than the sum of its proper divisors (218396528).

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

130831120 is a wasteful number, since it uses less digits than its factorization.

130831120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 130831120 is about 11438.1432059579. The cubic root of 130831120 is about 507.6569697331.

Adding to 130831120 its reverse (21138031), we get a palindrome (151969151).

The spelling of 130831120 in words is "one hundred thirty million, eight hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 307 560 614 761 1228 1522 1535 2149 2456 3044 3070 3805 4298 4912 5327 6088 6140 7610 8596 10654 10745 12176 12280 15220 17192 21308 21490 24560 26635 30440 34384 42616 42980 53270 60880 85232 85960 106540 171920 213080 233627 426160 467254 934508 1168135 1635389 1869016 2336270 3270778 3738032 4672540 6541556 8176945 9345080 13083112 16353890 18690160 26166224 32707780 65415560 130831120