Search a number
-
+
1301155080 = 233523895297
BaseRepresentation
bin100110110001110…
…0000110100001000
310100200100112012220
41031203200310020
510131043430310
6333040134040
744146431021
oct11543406410
93320315186
101301155080
11608517085
12303907320
13179750964
14c4b41c48
157936c670
hex4d8e0d08

1301155080 has 128 divisors (see below), whose sum is σ = 4119724800. Its totient is φ = 328097792.

The previous prime is 1301155069. The next prime is 1301155081. The reversal of 1301155080 is 805511031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1301155080.

It is not an unprimeable number, because it can be changed into a prime (1301155081) 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, 242992 + ... + 248288.

It is an arithmetic number, because the mean of its divisors is an integer number (32185350).

Almost surely, 21301155080 is an apocalyptic number.

1301155080 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 1301155080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059862400).

1301155080 is an abundant number, since it is smaller than the sum of its proper divisors (2818569720).

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

1301155080 is a wasteful number, since it uses less digits than its factorization.

1301155080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 1301155080 is about 36071.5272756783. The cubic root of 1301155080 is about 1091.7160299597.

The spelling of 1301155080 in words is "one billion, three hundred one million, one hundred fifty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 89 92 115 120 138 178 184 230 267 276 345 356 445 460 534 552 690 712 890 920 1068 1335 1380 1780 2047 2136 2670 2760 3560 4094 5297 5340 6141 8188 10235 10594 10680 12282 15891 16376 20470 21188 24564 26485 30705 31782 40940 42376 49128 52970 61410 63564 79455 81880 105940 121831 122820 127128 158910 211880 243662 245640 317820 365493 471433 487324 609155 635640 730986 942866 974648 1218310 1414299 1461972 1827465 1885732 2357165 2436620 2828598 2923944 3654930 3771464 4714330 4873240 5657196 7071495 7309860 9428660 10842959 11314392 14142990 14619720 18857320 21685918 28285980 32528877 43371836 54214795 56571960 65057754 86743672 108429590 130115508 162644385 216859180 260231016 325288770 433718360 650577540 1301155080