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109720512 = 26321117317
BaseRepresentation
bin1101000101000…
…11001111000000
321122110101020200
412202203033000
5211042024022
614515405200
72501415606
oct642431700
9248411220
10109720512
1156a30710
12308b3800
13199680a5
1410801876
159974bac
hex68a33c0

109720512 has 84 divisors (see below), whose sum is σ = 343104216. Its totient is φ = 33246720.

The previous prime is 109720463. The next prime is 109720553. The reversal of 109720512 is 215027901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2323 + ... + 14994.

It is an arithmetic number, because the mean of its divisors is an integer number (4084574).

Almost surely, 2109720512 is an apocalyptic number.

109720512 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 109720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171552108).

109720512 is an abundant number, since it is smaller than the sum of its proper divisors (233383704).

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

109720512 is a wasteful number, since it uses less digits than its factorization.

109720512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17346 (or 17333 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 109720512 is about 10474.7559398775. The cubic root of 109720512 is about 478.7358402146.

It can be divided in two parts, 1097 and 20512, that added together give a square (21609 = 1472).

The spelling of 109720512 in words is "one hundred nine million, seven hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 17317 34634 51951 69268 103902 138536 155853 190487 207804 277072 311706 380974 415608 554144 571461 623412 761948 831216 1108288 1142922 1246824 1523896 1662432 1714383 2285844 2493648 3047792 3324864 3428766 4571688 4987296 6095584 6857532 9143376 9974592 12191168 13715064 18286752 27430128 36573504 54860256 109720512