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1114052576 = 257131912003
BaseRepresentation
bin100001001100111…
…0001011111100000
32212122021201211112
41002121301133200
54240144140301
6302314002452
736415201460
oct10231613740
92778251745
101114052576
1152194320a
12271116428
13149a61010
14a7d59ba0
1567c0e9bb
hex426717e0

1114052576 has 96 divisors (see below), whose sum is σ = 2714923008. Its totient is φ = 438197760.

The previous prime is 1114052561. The next prime is 1114052579. The reversal of 1114052576 is 6752504111.

It is a super-2 number, since 2×11140525762 = 2482226284184471552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114052579) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555191 + ... + 557193.

It is an arithmetic number, because the mean of its divisors is an integer number (28280448).

Almost surely, 21114052576 is an apocalyptic number.

1114052576 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 1114052576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357461504).

1114052576 is an abundant number, since it is smaller than the sum of its proper divisors (1600870432).

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

1114052576 is a wasteful number, since it uses less digits than its factorization.

1114052576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 1114052576 is about 33377.4261440273. The cubic root of 1114052576 is about 1036.6573448338.

Adding to 1114052576 its reverse (6752504111), we get a palindrome (7866556687).

The spelling of 1114052576 in words is "one billion, one hundred fourteen million, fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 191 208 224 364 382 416 728 764 1337 1456 1528 2003 2483 2674 2912 3056 4006 4966 5348 6112 8012 9932 10696 14021 16024 17381 19864 21392 26039 28042 32048 34762 39728 42784 52078 56084 64096 69524 79456 104156 112168 139048 182273 208312 224336 278096 364546 382573 416624 448672 556192 729092 765146 833248 1458184 1530292 2678011 2916368 3060584 4973449 5356022 5832736 6121168 9946898 10712044 12242336 19893796 21424088 34814143 39787592 42848176 69628286 79575184 85696352 139256572 159150368 278513144 557026288 1114052576