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109552128 = 293723443
BaseRepresentation
bin1101000011110…
…10001000000000
321122010211021020
412201322020000
5211021132003
614512025440
72500114650
oct641721000
9248124236
10109552128
1156926154
1230832280
131990955a
141079a360
15993ed53
hex687a200

109552128 has 160 divisors (see below), whose sum is σ = 348834816. Its totient is φ = 29872128.

The previous prime is 109552127. The next prime is 109552181. The reversal of 109552128 is 821255901.

It is not an unprimeable number, because it can be changed into a prime (109552127) 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, 247075 + ... + 247517.

Almost surely, 2109552128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174417408).

109552128 is an abundant number, since it is smaller than the sum of its proper divisors (239282688).

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

109552128 is an equidigital number, since it uses as much as digits as its factorization.

109552128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 109552128 is about 10466.7152440486. The cubic root of 109552128 is about 478.4908154494.

The spelling of 109552128 in words is "one hundred nine million, five hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 443 448 483 512 552 644 672 736 768 886 896 966 1104 1288 1329 1344 1472 1536 1772 1792 1932 2208 2576 2658 2688 2944 3101 3544 3584 3864 4416 5152 5316 5376 5888 6202 7088 7728 8832 9303 10189 10304 10632 10752 11776 12404 14176 15456 17664 18606 20378 20608 21264 24808 28352 30567 30912 35328 37212 40756 41216 42528 49616 56704 61134 61824 71323 74424 81512 82432 85056 99232 113408 122268 123648 142646 148848 163024 170112 198464 213969 226816 244536 247296 285292 297696 326048 340224 396928 427938 489072 570584 595392 652096 680448 793856 855876 978144 1141168 1190784 1304192 1587712 1711752 1956288 2282336 2381568 2608384 3423504 3912576 4564672 4763136 5216768 6847008 7825152 9129344 13694016 15650304 18258688 27388032 36517376 54776064 109552128