Search a number
-
+
1359278256 = 243729199701
BaseRepresentation
bin101000100000100…
…1111000010110000
310111201201111020010
41101001033002300
510240433401011
6342514014520
745453450240
oct12101170260
93451644203
101359278256
11638305966
1231b277440
131887c157b
14cc751b20
157e4ee1a6
hex5104f0b0

1359278256 has 160 divisors (see below), whose sum is σ = 4178304000. Its totient is φ = 372556800.

The previous prime is 1359278237. The next prime is 1359278257. The reversal of 1359278256 is 6528729531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1359278257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1938706 + ... + 1939406.

It is an arithmetic number, because the mean of its divisors is an integer number (26114400).

Almost surely, 21359278256 is an apocalyptic number.

1359278256 is a gapful number since it is divisible by the number (16) 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 1359278256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152000).

1359278256 is an abundant number, since it is smaller than the sum of its proper divisors (2819025744).

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

1359278256 is a wasteful number, since it uses less digits than its factorization.

1359278256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 1359278256 is about 36868.3910145263. The cubic root of 1359278256 is about 1107.7356257335.

The spelling of 1359278256 in words is "one billion, three hundred fifty-nine million, two hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 199 203 232 336 348 398 406 464 597 609 696 701 796 812 1194 1218 1392 1393 1402 1592 1624 2103 2388 2436 2786 2804 3184 3248 4179 4206 4776 4872 4907 5572 5608 5771 8358 8412 9552 9744 9814 11144 11216 11542 14721 16716 16824 17313 19628 20329 22288 23084 29442 33432 33648 34626 39256 40397 40658 46168 58884 60987 66864 69252 78512 80794 81316 92336 117768 121191 121974 138504 139499 142303 161588 162632 235536 242382 243948 277008 278998 284606 323176 325264 418497 426909 484764 487896 557996 569212 646352 836994 853818 969528 975792 976493 1115992 1138424 1673988 1707636 1939056 1952986 2231984 2276848 2929479 3347976 3415272 3905972 4045471 5858958 6695952 6830544 7811944 8090942 11717916 12136413 15623888 16181884 23435832 24272826 28318297 32363768 46871664 48545652 56636594 64727536 84954891 97091304 113273188 169909782 194182608 226546376 339819564 453092752 679639128 1359278256