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1113740128 = 25292814271
BaseRepresentation
bin100001001100010…
…0101001101100000
32212121200212020101
41002120211031200
54240104141003
6302303152144
736412430524
oct10230451540
92777625211
101113740128
1152174a496
12270ba5654
13149981a37
14a7cb7d84
1567b9c11d
hex42625360

1113740128 has 48 divisors (see below), whose sum is σ = 2276890560. Its totient is φ = 535628800.

The previous prime is 1113740093. The next prime is 1113740143. The reversal of 1113740128 is 8210473111.

It is a junction number, because it is equal to n+sod(n) for n = 1113740096 and 1113740105.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 258633 + ... + 262903.

It is an arithmetic number, because the mean of its divisors is an integer number (47435220).

Almost surely, 21113740128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138445280).

1113740128 is an abundant number, since it is smaller than the sum of its proper divisors (1163150432).

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

1113740128 is a wasteful number, since it uses less digits than its factorization.

1113740128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1113740128 is about 33372.7452871351. The cubic root of 1113740128 is about 1036.5604218799.

The spelling of 1113740128 in words is "one billion, one hundred thirteen million, seven hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 281 464 562 928 1124 2248 4271 4496 8149 8542 8992 16298 17084 32596 34168 65192 68336 123859 130384 136672 247718 260768 495436 990872 1200151 1981744 2400302 3963488 4800604 9601208 19202416 34804379 38404832 69608758 139217516 278435032 556870064 1113740128