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1128978378 = 2331141151307
BaseRepresentation
bin100001101001010…
…1101011111001010
32220200101001012000
41003102231133022
54303004302003
6304005531430
736656105103
oct10322553712
92820331160
101128978378
1152a308190
12276113b76
1314cb88958
14a9d233aa
15691ac1a3
hex434ad7ca

1128978378 has 128 divisors (see below), whose sum is σ = 2831431680. Its totient is φ = 330480000.

The previous prime is 1128978359. The next prime is 1128978379. The reversal of 1128978378 is 8738798211.

It is a happy number.

1128978378 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1128978379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3677301 + ... + 3677607.

It is an arithmetic number, because the mean of its divisors is an integer number (22120560).

Almost surely, 21128978378 is an apocalyptic number.

1128978378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128978378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415715840).

1128978378 is an abundant number, since it is smaller than the sum of its proper divisors (1702453302).

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

1128978378 is a wasteful number, since it uses less digits than its factorization.

1128978378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 1128978378 is about 33600.2734810299. The cubic root of 1128978378 is about 1041.2664484181.

The spelling of 1128978378 in words is "one billion, one hundred twenty-eight million, nine hundred seventy-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 151 198 246 297 302 307 369 451 453 594 614 738 902 906 921 1107 1353 1359 1661 1842 2214 2706 2718 2763 3322 3377 4059 4077 4983 5526 6191 6754 8118 8154 8289 9966 10131 12177 12382 12587 14949 16578 18573 20262 24354 25174 29898 30393 37146 37761 44847 46357 55719 60786 68101 75522 89694 91179 92714 111438 113283 136202 138457 139071 167157 182358 204303 226566 276914 278142 334314 339849 408606 415371 417213 509927 612909 679698 830742 834426 1019854 1225818 1246113 1251639 1529781 1838727 1900637 2492226 2503278 3059562 3677454 3738339 3801274 4589343 5701911 7476678 9178686 11403822 13768029 17105733 20907007 27536058 34211466 41814014 51317199 62721021 102634398 125442042 188163063 376326126 564489189 1128978378