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109332984 = 233172361191
BaseRepresentation
bin1101000010001…
…00100111111000
321121201200122210
412201010213320
5210442123414
614503215120
72465213025
oct641044770
9247650583
10109332984
1156796542
12307474a0
1319860897
141074054c
1598e9e59
hex68449f8

109332984 has 128 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 32102400.

The previous prime is 109332953. The next prime is 109332989. The reversal of 109332984 is 489233901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109332989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572329 + ... + 572519.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2109332984 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 109332984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

109332984 is an abundant number, since it is smaller than the sum of its proper divisors (199218696).

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

109332984 is a wasteful number, since it uses less digits than its factorization.

109332984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 109332984 is about 10456.2413897155. The cubic root of 109332984 is about 478.1715507327.

The spelling of 109332984 in words is "one hundred nine million, three hundred thirty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 61 68 69 92 102 122 136 138 183 184 191 204 244 276 366 382 391 408 488 552 573 732 764 782 1037 1146 1173 1403 1464 1528 1564 2074 2292 2346 2806 3111 3128 3247 4148 4209 4393 4584 4692 5612 6222 6494 8296 8418 8786 9384 9741 11224 11651 12444 12988 13179 16836 17572 19482 23302 23851 24888 25976 26358 33672 34953 35144 38964 46604 47702 52716 69906 71553 74681 77928 93208 95404 105432 139812 143106 149362 190808 198067 224043 267973 279624 286212 298724 396134 448086 535946 572424 594201 597448 792268 803919 896172 1071892 1188402 1584536 1607838 1792344 2143784 2376804 3215676 4555541 4753608 6431352 9111082 13666623 18222164 27333246 36444328 54666492 109332984