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1109868552 = 2332134012957
BaseRepresentation
bin100001000100111…
…0100000000001000
32212100102011102200
41002021310000020
54233111243202
6302044200200
736334504242
oct10211640010
92770364380
101109868552
1151a545741
1226b839060
13148c27770
14a758b092
1567684e1c
hex42274008

1109868552 has 96 divisors (see below), whose sum is σ = 3246286680. Its totient is φ = 340531200.

The previous prime is 1109868509. The next prime is 1109868553. The reversal of 1109868552 is 2558689011.

It is a happy number.

1109868552 is a `hidden beast` number, since 1 + 1 + 0 + 98 + 6 + 8 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 929396196 + 180472356 = 30486^2 + 13434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1109868498 and 1109868507.

It is not an unprimeable number, because it can be changed into a prime (1109868553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373858 + ... + 376814.

Almost surely, 21109868552 is an apocalyptic number.

1109868552 is a gapful number since it is divisible by the number (12) 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 1109868552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623143340).

1109868552 is an abundant number, since it is smaller than the sum of its proper divisors (2136418128).

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

1109868552 is a wasteful number, since it uses less digits than its factorization.

1109868552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1109868552 is about 33314.6897329091. The cubic root of 1109868552 is about 1035.3579326331.

The spelling of 1109868552 in words is "one billion, one hundred nine million, eight hundred sixty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 401 468 802 936 1203 1604 2406 2957 3208 3609 4812 5213 5914 7218 8871 9624 10426 11828 14436 15639 17742 20852 23656 26613 28872 31278 35484 38441 41704 46917 53226 62556 70968 76882 93834 106452 115323 125112 153764 187668 212904 230646 307528 345969 375336 461292 691938 922584 1185757 1383876 2371514 2767752 3557271 4743028 7114542 9486056 10671813 14229084 15414841 21343626 28458168 30829682 42687252 46244523 61659364 85374504 92489046 123318728 138733569 184978092 277467138 369956184 554934276 1109868552