Search a number
-
+
1368198080 = 26517435849
BaseRepresentation
bin101000110001101…
…0000101111000000
310112100111122220222
41101203100233000
510300224314310
6343433122212
745622330454
oct12143205700
93470448828
101368198080
11642348517
12322259368
1318a5c5582
14cd9d4664
15801b2055
hex518d0bc0

1368198080 has 112 divisors (see below), whose sum is σ = 3530498400. Its totient is φ = 503021568.

The previous prime is 1368198071. The next prime is 1368198107. The reversal of 1368198080 is 808918631.

It is a happy number.

It is a super-2 number, since 2×13681980802 = 3743931972231372800, which contains 22 as substring.

It is a congruent number.

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, 230996 + ... + 236844.

Almost surely, 21368198080 is an apocalyptic number.

1368198080 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 1368198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765249200).

1368198080 is an abundant number, since it is smaller than the sum of its proper divisors (2162300320).

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

1368198080 is a wasteful number, since it uses less digits than its factorization.

1368198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 1368198080 is about 36989.1616558148. The cubic root of 1368198080 is about 1110.1533970834.

The spelling of 1368198080 in words is "one billion, three hundred sixty-eight million, one hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 64 68 80 85 86 136 160 170 172 215 272 320 340 344 430 544 680 688 731 860 1088 1360 1376 1462 1720 2720 2752 2924 3440 3655 5440 5848 5849 6880 7310 11696 11698 13760 14620 23392 23396 29240 29245 46784 46792 58480 58490 93584 99433 116960 116980 187168 198866 233920 233960 251507 374336 397732 467920 497165 503014 795464 935840 994330 1006028 1257535 1590928 1871680 1988660 2012056 2515070 3181856 3977320 4024112 4275619 5030140 6363712 7954640 8048224 8551238 10060280 15909280 16096448 17102476 20120560 21378095 31818560 34204952 40241120 42756190 68409904 80482240 85512380 136819808 171024760 273639616 342049520 684099040 1368198080