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109218240 = 2633512641
BaseRepresentation
bin1101000001010…
…00100111000000
321121111212021000
412200220213000
5210424440430
614500532000
72464224345
oct640504700
9247455230
10109218240
115671830a
12306b1000
13198205a1
14107107cc
1598c5e60
hex68289c0

109218240 has 112 divisors (see below), whose sum is σ = 385328160. Its totient is φ = 29122560.

The previous prime is 109218233. The next prime is 109218247. The reversal of 109218240 is 42812901.

It is an interprime number because it is at equal distance from previous prime (109218233) and next prime (109218247).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109218247) 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, 2320 + ... + 14960.

It is an arithmetic number, because the mean of its divisors is an integer number (3440430).

Almost surely, 2109218240 is an apocalyptic number.

109218240 is a gapful number since it is divisible by the number (10) 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 109218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192664080).

109218240 is an abundant number, since it is smaller than the sum of its proper divisors (276109920).

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

109218240 is a wasteful number, since it uses less digits than its factorization.

109218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12667 (or 12651 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 109218240 is about 10450.7530829123. The cubic root of 109218240 is about 478.0042132411.

The spelling of 109218240 in words is "one hundred nine million, two hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 12641 25282 37923 50564 63205 75846 101128 113769 126410 151692 189615 202256 227538 252820 303384 341307 379230 404512 455076 505640 568845 606768 682614 758460 809024 910152 1011280 1137690 1213536 1365228 1516920 1706535 1820304 2022560 2275380 2427072 2730456 3033840 3413070 3640608 4045120 4550760 5460912 6067680 6826140 7281216 9101520 10921824 12135360 13652280 18203040 21843648 27304560 36406080 54609120 109218240