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1301104720 = 245293179229
BaseRepresentation
bin100110110001101…
…0100100001010000
310100200020222010201
41031203110201100
510131040322340
6333035104544
744146131136
oct11543244120
93320228121
101301104720
11608492263
123038a2154
13179733a66
14c4b2b756
157935c79a
hex4d8d4850

1301104720 has 160 divisors (see below), whose sum is σ = 3285504000. Its totient is φ = 478033920.

The previous prime is 1301104663. The next prime is 1301104759. The reversal of 1301104720 is 274011031.

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, 5681566 + ... + 5681794.

It is an arithmetic number, because the mean of its divisors is an integer number (20534400).

Almost surely, 21301104720 is an apocalyptic number.

1301104720 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 1301104720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642752000).

1301104720 is an abundant number, since it is smaller than the sum of its proper divisors (1984399280).

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

1301104720 is a wasteful number, since it uses less digits than its factorization.

1301104720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1301104720 is about 36070.8292114279. The cubic root of 1301104720 is about 1091.7019451593.

Adding to 1301104720 its reverse (274011031), we get a palindrome (1575115751).

The spelling of 1301104720 in words is "one billion, three hundred one million, one hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 79 80 116 124 145 155 158 229 232 248 290 310 316 395 458 464 496 580 620 632 790 899 916 1145 1160 1240 1264 1580 1798 1832 2290 2291 2320 2449 2480 3160 3596 3664 4495 4580 4582 4898 6320 6641 7099 7192 8990 9160 9164 9796 11455 12245 13282 14198 14384 17980 18091 18320 18328 19592 22910 24490 26564 28396 33205 35495 35960 36182 36656 39184 45820 48980 53128 56792 66410 70990 71021 71920 72364 90455 91640 97960 106256 113584 132820 141980 142042 144728 180910 183280 195920 205871 265640 283960 284084 289456 355105 361820 411742 524639 531280 560821 567920 568168 710210 723640 823484 1029355 1049278 1121642 1136336 1420420 1447280 1646968 2058710 2098556 2243284 2623195 2804105 2840840 3293936 4117420 4197112 4486568 5246390 5608210 5681680 8234840 8394224 8973136 10492780 11216420 16263809 16469680 20985560 22432840 32527618 41971120 44865680 65055236 81319045 130110472 162638090 260220944 325276180 650552360 1301104720