Search a number
-
+
11109059360 = 255717583459
BaseRepresentation
bin10100101100010011…
…01100101100100000
31001200012122200112222
422112021230230200
5140222404344420
65034201410212
7542202306110
oct122611545440
931605580488
1011109059360
1147908577a3
1221a0499968
1310806c0809
1477557d040
15450433225
hex29626cb20

11109059360 has 96 divisors (see below), whose sum is σ = 31758894720. Its totient is φ = 3584765952.

The previous prime is 11109059341. The next prime is 11109059371. The reversal of 11109059360 is 6395090111.

It is a super-2 number, since 2×111090593602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11109059360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272690 + ... + 310769.

It is an arithmetic number, because the mean of its divisors is an integer number (330821820).

Almost surely, 211109059360 is an apocalyptic number.

11109059360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11109059360 is an abundant number, since it is smaller than the sum of its proper divisors (20649835360).

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

11109059360 is a wasteful number, since it uses less digits than its factorization.

11109059360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583498 (or 583490 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 35.

The spelling of 11109059360 in words is "eleven billion, one hundred nine million, fifty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 583459 1166918 2333836 2917295 4084213 4667672 5834590 8168426 9335344 9918803 11669180 16336852 18670688 19837606 20421065 23338360 32673704 39675212 40842130 46676720 49594015 65347408 69431621 79350424 81684260 93353440 99188030 130694816 138863242 158700848 163368520 198376060 277726484 317401696 326737040 347158105 396752120 555452968 653474080 694316210 793504240 1110905936 1388632420 1587008480 2221811872 2777264840 5554529680 11109059360