Search a number
-
+
109080576 = 2123211269
BaseRepresentation
bin1101000000001…
…11000000000000
321121020212102100
412200013000000
5210411034301
614453550400
72463112113
oct640070000
9247225370
10109080576
1156633940
1230645400
13197a2a27
14106b657a
15989a286
hex6807000

109080576 has 156 divisors (see below), whose sum is σ = 345004920. Its totient is φ = 32931840.

The previous prime is 109080563. The next prime is 109080583. The reversal of 109080576 is 675080901.

109080576 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 80 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 109080576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405370 + ... + 405638.

It is an arithmetic number, because the mean of its divisors is an integer number (2211570).

Almost surely, 2109080576 is an apocalyptic number.

109080576 is a gapful number since it is divisible by the number (16) 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 109080576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172502460).

109080576 is an abundant number, since it is smaller than the sum of its proper divisors (235924344).

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

109080576 is a wasteful number, since it uses less digits than its factorization.

109080576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 109080576 is about 10444.1646865606. The cubic root of 109080576 is about 477.8032955223.

The spelling of 109080576 in words is "one hundred nine million, eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 269 288 352 384 396 512 528 538 576 704 768 792 807 1024 1056 1076 1152 1408 1536 1584 1614 2048 2112 2152 2304 2421 2816 2959 3072 3168 3228 4096 4224 4304 4608 4842 5632 5918 6144 6336 6456 8448 8608 8877 9216 9684 11264 11836 12288 12672 12912 16896 17216 17754 18432 19368 22528 23672 25344 25824 26631 33792 34432 35508 36864 38736 45056 47344 50688 51648 53262 67584 68864 71016 77472 94688 101376 103296 106524 135168 137728 142032 154944 189376 202752 206592 213048 275456 284064 309888 378752 405504 413184 426096 550912 568128 619776 757504 826368 852192 1101824 1136256 1239552 1515008 1652736 1704384 2272512 2479104 3030016 3305472 3408768 4545024 4958208 6060032 6817536 9090048 9916416 12120064 13635072 18180096 27270144 36360192 54540288 109080576