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1310030540 = 2257132173257
BaseRepresentation
bin100111000010101…
…0111101011001100
310101022001110001122
41032011113223030
510140331434130
6333554300112
744315035010
oct11605275314
93338043048
101310030540
11612529375
12306887638
1317b53a700
14c5db2540
157a0222e5
hex4e157acc

1310030540 has 144 divisors (see below), whose sum is σ = 3605902272. Its totient is φ = 390094848.

The previous prime is 1310030503. The next prime is 1310030593. The reversal of 1310030540 is 450300131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400592 + ... + 403848.

It is an arithmetic number, because the mean of its divisors is an integer number (25040988).

Almost surely, 21310030540 is an apocalyptic number.

1310030540 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 1310030540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802951136).

1310030540 is an abundant number, since it is smaller than the sum of its proper divisors (2295871732).

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

1310030540 is a wasteful number, since it uses less digits than its factorization.

1310030540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1310030540 is about 36194.3440332879. The cubic root of 1310030540 is about 1094.1926841944.

Adding to 1310030540 its reverse (450300131), we get a palindrome (1760330671).

The spelling of 1310030540 in words is "one billion, three hundred ten million, thirty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 169 170 182 221 238 260 338 340 364 442 455 476 595 676 845 884 910 1105 1183 1190 1547 1690 1820 2210 2366 2380 2873 3094 3257 3380 4420 4732 5746 5915 6188 6514 7735 11492 11830 13028 14365 15470 16285 20111 22799 23660 28730 30940 32570 40222 42341 45598 55369 57460 65140 80444 84682 91196 100555 110738 113995 169364 201110 211705 221476 227990 276845 296387 387583 402220 423410 455980 550433 553690 592774 719797 775166 846820 1100866 1107380 1185548 1439594 1481935 1550332 1937915 2201732 2752165 2879188 2963870 3598985 3853031 3875830 5038579 5504330 5927740 7197970 7706062 7751660 9357361 10077158 11008660 14395940 15412124 18714722 19265155 20154316 25192895 37429444 38530310 46786805 50385790 65501527 77060620 93573610 100771580 131003054 187147220 262006108 327507635 655015270 1310030540