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109520256 = 2731719883
BaseRepresentation
bin1101000011100…
…10010110000000
321122002012112210
412201302112000
5211014122011
614511222120
72466623016
oct641622600
9248065483
10109520256
115690420a
1230817940
13198c7bb1
141078c8b6
1599356a6
hex6872580

109520256 has 128 divisors (see below), whose sum is σ = 324604800. Its totient is φ = 32514048.

The previous prime is 109520251. The next prime is 109520291. The reversal of 109520256 is 652025901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109520251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123591 + ... + 124473.

It is an arithmetic number, because the mean of its divisors is an integer number (2535975).

Almost surely, 2109520256 is an apocalyptic number.

109520256 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 109520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162302400).

109520256 is an abundant number, since it is smaller than the sum of its proper divisors (215084544).

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

109520256 is a wasteful number, since it uses less digits than its factorization.

109520256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 109520256 is about 10465.1925925900. The cubic root of 109520256 is about 478.4444085053. Note that the first 4 decimals are identical.

The spelling of 109520256 in words is "one hundred nine million, five hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 272 304 323 384 408 456 544 608 646 816 883 912 969 1088 1216 1292 1632 1766 1824 1938 2176 2432 2584 2649 3264 3532 3648 3876 5168 5298 6528 7064 7296 7752 10336 10596 14128 15011 15504 16777 20672 21192 28256 30022 31008 33554 41344 42384 45033 50331 56512 60044 62016 67108 84768 90066 100662 113024 120088 124032 134216 169536 180132 201324 240176 268432 285209 339072 360264 402648 480352 536864 570418 720528 805296 855627 960704 1073728 1140836 1441056 1610592 1711254 1921408 2147456 2281672 2882112 3221184 3422508 4563344 5764224 6442368 6845016 9126688 13690032 18253376 27380064 36506752 54760128 109520256