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109238688 = 253213163179
BaseRepresentation
bin1101000001011…
…01100110100000
321121112220022100
412200231212200
5210431114223
614501210400
72464341066
oct640554640
9247486270
10109238688
1156731709
1230700a00
13198299a0
1410718036
1598cc043
hex682d9a0

109238688 has 144 divisors (see below), whose sum is σ = 338476320. Its totient is φ = 33219072.

The previous prime is 109238687. The next prime is 109238713. The reversal of 109238688 is 886832901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1092386882 = 23866181911922688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109238687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 610183 + ... + 610361.

It is an arithmetic number, because the mean of its divisors is an integer number (2350530).

Almost surely, 2109238688 is an apocalyptic number.

109238688 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 109238688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169238160).

109238688 is an abundant number, since it is smaller than the sum of its proper divisors (229237632).

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

109238688 is a wasteful number, since it uses less digits than its factorization.

109238688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 109238688 is about 10451.7313398307. The cubic root of 109238688 is about 478.0340422643.

The spelling of 109238688 in words is "one hundred nine million, two hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 163 179 208 234 288 312 326 358 416 468 489 537 624 652 716 936 978 1074 1248 1304 1432 1467 1611 1872 1956 2119 2148 2327 2608 2864 2934 3222 3744 3912 4238 4296 4654 5216 5728 5868 6357 6444 6981 7824 8476 8592 9308 11736 12714 12888 13962 15648 16952 17184 18616 19071 20943 23472 25428 25776 27924 29177 33904 37232 38142 41886 46944 50856 51552 55848 58354 67808 74464 76284 83772 87531 101712 111696 116708 152568 167544 175062 203424 223392 233416 262593 305136 335088 350124 379301 466832 525186 610272 670176 700248 758602 933664 1050372 1137903 1400496 1517204 2100744 2275806 2800992 3034408 3413709 4201488 4551612 6068816 6827418 8402976 9103224 12137632 13654836 18206448 27309672 36412896 54619344 109238688