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1114656128 = 27196772
BaseRepresentation
bin100001001110000…
…0100110110000000
32212200102101202022
41002130010312000
54240322444003
6302334541012
736423264215
oct10234046600
92780371668
101114656128
11522215713
12271367768
13149c12951
14a8075b0c
1567ccd738
hex42704d80

1114656128 has 48 divisors (see below), whose sum is σ = 2340935700. Its totient is φ = 527215104.

The previous prime is 1114656121. The next prime is 1114656131. The reversal of 1114656128 is 8216564111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114656121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1646126 + ... + 1646802.

Almost surely, 21114656128 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 1114656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170467850).

1114656128 is an abundant number, since it is smaller than the sum of its proper divisors (1226279572).

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

1114656128 is an frugal number, since it uses more digits than its factorization.

1114656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 698 counting only the distinct ones).

The product of its digits is 11520, while the sum is 35.

The square root of 1114656128 is about 33386.4662400800. The cubic root of 1114656128 is about 1036.8445184232.

The spelling of 1114656128 in words is "one billion, one hundred fourteen million, six hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 677 1216 1354 2432 2708 5416 10832 12863 21664 25726 43328 51452 86656 102904 205808 411616 458329 823232 916658 1646464 1833316 3666632 7333264 8708251 14666528 17416502 29333056 34833004 58666112 69666008 139332016 278664032 557328064 1114656128