Search a number
-
+
1300132120 = 235717713847
BaseRepresentation
bin100110101111110…
…0111000100011000
310100121102112222111
41031133213010120
510130313211440
6333002202104
744134640440
oct11537470430
93317375874
101300132120
11607988561
123034b3334
13179483161
14c4957120
15792194ea
hex4d7e7118

1300132120 has 128 divisors (see below), whose sum is σ = 3590645760. Its totient is φ = 413521920.

The previous prime is 1300132081. The next prime is 1300132121. The reversal of 1300132120 is 212310031.

It is a self number, because there is not a number n which added to its sum of digits gives 1300132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300132121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336037 + ... + 339883.

It is an arithmetic number, because the mean of its divisors is an integer number (28051920).

Almost surely, 21300132120 is an apocalyptic number.

1300132120 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 1300132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795322880).

1300132120 is an abundant number, since it is smaller than the sum of its proper divisors (2290513640).

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

1300132120 is a wasteful number, since it uses less digits than its factorization.

1300132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1300132120 is about 36057.3448828391. The cubic root of 1300132120 is about 1091.4298548414.

Adding to 1300132120 its reverse (212310031), we get a palindrome (1512442151).

The spelling of 1300132120 in words is "one billion, three hundred million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 71 85 119 136 140 142 170 238 280 284 340 355 476 497 568 595 680 710 952 994 1190 1207 1420 1988 2380 2414 2485 2840 3847 3976 4760 4828 4970 6035 7694 8449 9656 9940 12070 15388 16898 19235 19880 24140 26929 30776 33796 38470 42245 48280 53858 65399 67592 76940 84490 107716 130798 134645 153880 168980 215432 261596 269290 273137 326995 337960 457793 523192 538580 546274 653990 915586 1077160 1092548 1307980 1365685 1831172 1911959 2185096 2288965 2615960 2731370 3662344 3823918 4577930 4643329 5462740 7647836 9155860 9286658 9559795 10925480 15295672 18311720 18573316 19119590 23216645 32503303 37146632 38239180 46433290 65006606 76478360 92866580 130013212 162516515 185733160 260026424 325033030 650066060 1300132120