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109701540 = 22345135209
BaseRepresentation
bin1101000100111…
…10100110100100
321122102102020000
412202132212210
5211040422130
614515141300
72501306364
oct642364644
9248372200
10109701540
1156a18433
12308a4830
131995c570
14107d89a4
15996e260
hex689e9a4

109701540 has 120 divisors (see below), whose sum is σ = 370681080. Its totient is φ = 26998272.

The previous prime is 109701521. The next prime is 109701547. The reversal of 109701540 is 45107901.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 88962624 = 4554^2 + 9432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (109701547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18456 + ... + 23664.

It is an arithmetic number, because the mean of its divisors is an integer number (3089009).

Almost surely, 2109701540 is an apocalyptic number.

109701540 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 109701540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185340540).

109701540 is an abundant number, since it is smaller than the sum of its proper divisors (260979540).

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

109701540 is a wasteful number, since it uses less digits than its factorization.

109701540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 109701540 is about 10473.8502949011. The cubic root of 109701540 is about 478.7082455569.

The spelling of 109701540 in words is "one hundred nine million, seven hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5209 5265 7020 10418 10530 15627 20836 21060 26045 31254 46881 52090 62508 67717 78135 93762 104180 135434 140643 156270 187524 203151 234405 270868 281286 312540 338585 406302 421929 468810 562572 609453 677170 703215 812604 843858 937620 1015755 1218906 1354340 1406430 1687716 1828359 2031510 2109645 2437812 2812860 3047265 3656718 4063020 4219290 5485077 6094530 7313436 8438580 9141795 10970154 12189060 18283590 21940308 27425385 36567180 54850770 109701540