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1111400928 = 253211461761
BaseRepresentation
bin100001000111110…
…1010000111100000
32212110022000110100
41002033222013200
54234004312203
6302141102400
736353515641
oct10217520740
92773260410
101111400928
115203a1a70
12270257a00
131493430b1
14a78696c8
1567888ea3
hex423ea1e0

1111400928 has 144 divisors (see below), whose sum is σ = 3459888432. Its totient is φ = 335616000.

The previous prime is 1111400911. The next prime is 1111400929. The reversal of 1111400928 is 8290041111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11114009282 = 2470424045518522368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111400929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1460068 + ... + 1460828.

It is an arithmetic number, because the mean of its divisors is an integer number (24027003).

Almost surely, 21111400928 is an apocalyptic number.

1111400928 is a gapful number since it is divisible by the number (18) 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 1111400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729944216).

1111400928 is an abundant number, since it is smaller than the sum of its proper divisors (2348487504).

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

1111400928 is a wasteful number, since it uses less digits than its factorization.

1111400928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1111400928 is about 33337.6803032245. The cubic root of 1111400928 is about 1035.8342136686.

The spelling of 1111400928 in words is "one billion, one hundred eleven million, four hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 461 528 761 792 922 1056 1383 1522 1584 1844 2283 2766 3044 3168 3688 4149 4566 5071 5532 6088 6849 7376 8298 8371 9132 10142 11064 12176 13698 14752 15213 16596 16742 18264 20284 22128 24352 25113 27396 30426 33192 33484 36528 40568 44256 45639 50226 54792 60852 66384 66968 73056 75339 81136 91278 100452 109584 121704 132768 133936 150678 162272 182556 200904 219168 243408 267872 301356 350821 365112 401808 486816 602712 701642 730224 803616 1052463 1205424 1403284 1460448 2104926 2410848 2806568 3157389 3859031 4209852 5613136 6314778 7718062 8419704 11226272 11577093 12629556 15436124 16839408 23154186 25259112 30872248 33678816 34731279 46308372 50518224 61744496 69462558 92616744 101036448 123488992 138925116 185233488 277850232 370466976 555700464 1111400928