Search a number
-
+
1109868240 = 2435131272801
BaseRepresentation
bin100001000100111…
…0011111011010000
32212100102011000010
41002021303323100
54233111240430
6302044154520
736334503315
oct10211637320
92770364003
101109868240
1151a545488
1226b838a40
13148c27590
14a758ad0c
1567684cb0
hex42273ed0

1109868240 has 160 divisors (see below), whose sum is σ = 3735760896. Its totient is φ = 270950400.

The previous prime is 1109868203. The next prime is 1109868241. The reversal of 1109868240 is 428689011.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109868241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394840 + ... + 397640.

Almost surely, 21109868240 is an apocalyptic number.

1109868240 is a gapful number since it is divisible by the number (10) 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 1109868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867880448).

1109868240 is an abundant number, since it is smaller than the sum of its proper divisors (2625892656).

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

1109868240 is a wasteful number, since it uses less digits than its factorization.

1109868240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1109868240 is about 33314.6850502898. The cubic root of 1109868240 is about 1035.3578356151.

The spelling of 1109868240 in words is "one billion, one hundred nine million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 127 130 156 195 208 240 254 260 312 381 390 508 520 624 635 762 780 1016 1040 1270 1524 1560 1651 1905 2032 2540 2801 3048 3120 3302 3810 4953 5080 5602 6096 6604 7620 8255 8403 9906 10160 11204 13208 14005 15240 16510 16806 19812 22408 24765 26416 28010 30480 33020 33612 36413 39624 42015 44816 49530 56020 66040 67224 72826 79248 84030 99060 109239 112040 132080 134448 145652 168060 182065 198120 218478 224080 291304 336120 355727 364130 396240 436956 546195 582608 672240 711454 728260 873912 1067181 1092390 1422908 1456520 1747824 1778635 2134362 2184780 2845816 2913040 3557270 4268724 4369560 4624451 5335905 5691632 7114540 8537448 8739120 9248902 10671810 13873353 14229080 17074896 18497804 21343620 23122255 27746706 28458160 36995608 42687240 46244510 55493412 69366765 73991216 85374480 92489020 110986824 138733530 184978040 221973648 277467060 369956080 554934120 1109868240