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109941840 = 24335232213
BaseRepresentation
bin1101000110110…
…01010001010000
321122212121212000
412203121101100
5211121114330
614524234000
72503330101
oct643312120
9248777760
10109941840
1157071a28
123099b900
1319a14a58
141085c3a8
1599ba560
hex68d9450

109941840 has 160 divisors (see below), whose sum is σ = 395331840. Its totient is φ = 28030464.

The previous prime is 109941803. The next prime is 109941857. The reversal of 109941840 is 48149901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109941795 and 109941804.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48574 + ... + 50786.

It is an arithmetic number, because the mean of its divisors is an integer number (2470824).

Almost surely, 2109941840 is an apocalyptic number.

109941840 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 109941840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665920).

109941840 is an abundant number, since it is smaller than the sum of its proper divisors (285390000).

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

109941840 is a wasteful number, since it uses less digits than its factorization.

109941840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 109941840 is about 10485.3154458986. The cubic root of 109941840 is about 479.0575256740.

The spelling of 109941840 in words is "one hundred nine million, nine hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2213 2484 2760 3105 3312 4140 4426 4968 5520 6210 6639 8280 8852 9936 11065 12420 13278 16560 17704 19917 22130 24840 26556 33195 35408 39834 44260 49680 50899 53112 59751 66390 79668 88520 99585 101798 106224 119502 132780 152697 159336 177040 199170 203596 239004 254495 265560 298755 305394 318672 398340 407192 458091 478008 508990 531120 597510 610788 763485 796680 814384 916182 956016 1017980 1195020 1221576 1374273 1526970 1593360 1832364 2035960 2290455 2390040 2443152 2748546 3053940 3664728 4071920 4580910 4780080 5497092 6107880 6871365 7329456 9161820 10994184 12215760 13742730 18323640 21988368 27485460 36647280 54970920 109941840