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1113952608 = 253317149509
BaseRepresentation
bin100001001100101…
…1001000101100000
32212122002122201000
41002121121011200
54240132440413
6302311512000
736414304146
oct10231310540
92778078630
101113952608
1152188509a
12271088600
13149a27672
14a7d31596
1567be0073
hex42659160

1113952608 has 192 divisors, whose sum is σ = 3470040000. Its totient is φ = 346447872.

The previous prime is 1113952607. The next prime is 1113952613. The reversal of 1113952608 is 8062593111.

1113952608 is a `hidden beast` number, since 1 + 1 + 1 + 395 + 260 + 8 = 666.

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 (1113952601) 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, 2188258 + ... + 2188766.

It is an arithmetic number, because the mean of its divisors is an integer number (18073125).

Almost surely, 21113952608 is an apocalyptic number.

1113952608 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 1113952608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735020000).

1113952608 is an abundant number, since it is smaller than the sum of its proper divisors (2356087392).

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

1113952608 is a wasteful number, since it uses less digits than its factorization.

1113952608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1113952608 is about 33375.9285713521. The cubic root of 1113952608 is about 1036.6263362251.

It can be divided in two parts, 111395 and 2608, that added together give a triangular number (114003 = T477).

The spelling of 1113952608 in words is "one billion, one hundred thirteen million, nine hundred fifty-two thousand, six hundred eight".