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1117092672 = 26321939397
BaseRepresentation
bin100001010010101…
…0111101101000000
32212212000012001200
41002211113231000
54241433431142
6302503101200
736453062643
oct10245275500
92785005050
101117092672
1152362a293
12272141800
1314a5869a7
14a850ba5a
156811064c
hex42957b40

1117092672 has 42 divisors (see below), whose sum is σ = 3201946098. Its totient is φ = 372364032.

The previous prime is 1117092671. The next prime is 1117092689. The reversal of 1117092672 is 2762907111.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1074790656 + 42302016 = 32784^2 + 6504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117092671) 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 5 ways as a sum of consecutive naturals, for example, 969123 + ... + 970274.

Almost surely, 21117092672 is an apocalyptic number.

1117092672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1117092672 is an abundant number, since it is smaller than the sum of its proper divisors (2084853426).

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

1117092672 is a wasteful number, since it uses less digits than its factorization.

1117092672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939415 (or 1939402 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1117092672 is about 33422.9363162485. The cubic root of 1117092672 is about 1037.5994534168.

Adding to 1117092672 its reverse (2762907111), we get a palindrome (3879999783).

The spelling of 1117092672 in words is "one billion, one hundred seventeen million, ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1939397 3878794 5818191 7757588 11636382 15515176 17454573 23272764 31030352 34909146 46545528 62060704 69818292 93091056 124121408 139636584 186182112 279273168 372364224 558546336 1117092672