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109859328 = 2935883
BaseRepresentation
bin1101000110001…
…01001000000000
321122201102200000
412203011020000
5211110444303
614522400000
72502534405
oct643051000
9248642600
10109859328
1157015a37
1230960000
13199b6327
141083a2ac
1599a0da3
hex68c5200

109859328 has 120 divisors (see below), whose sum is σ = 329176848. Its totient is φ = 36578304.

The previous prime is 109859303. The next prime is 109859333. The reversal of 109859328 is 823958901.

It is a happy number.

It is a super-2 number, since 2×1098593282 = 24138143897223168, which contains 22 as substring.

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, 123975 + ... + 124857.

Almost surely, 2109859328 is an apocalyptic number.

109859328 is a gapful number since it is divisible by the number (18) 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 109859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164588424).

109859328 is an abundant number, since it is smaller than the sum of its proper divisors (219317520).

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

109859328 is an frugal number, since it uses more digits than its factorization.

109859328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 109859328 is about 10481.3800618048. The cubic root of 109859328 is about 478.9376505129.

The spelling of 109859328 in words is "one hundred nine million, eight hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 883 972 1152 1296 1536 1728 1766 1944 2304 2592 2649 3456 3532 3888 4608 5184 5298 6912 7064 7776 7947 10368 10596 13824 14128 15552 15894 20736 21192 23841 28256 31104 31788 41472 42384 47682 56512 62208 63576 71523 84768 95364 113024 124416 127152 143046 169536 190728 214569 226048 254304 286092 339072 381456 429138 452096 508608 572184 678144 762912 858276 1017216 1144368 1356288 1525824 1716552 2034432 2288736 3051648 3433104 4068864 4577472 6103296 6866208 9154944 12206592 13732416 18309888 27464832 36619776 54929664 109859328