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109259040 = 25351120693
BaseRepresentation
bin1101000001100…
…10100100100000
321121120221020010
412200302210200
5210432242130
614501444520
72464454322
oct640624440
9247527203
10109259040
1156745a30
1230710740
1319836027
1410721612
1598d30b0
hex6832920

109259040 has 96 divisors (see below), whose sum is σ = 375471936. Its totient is φ = 26485760.

The previous prime is 109259009. The next prime is 109259041. The reversal of 109259040 is 40952901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 109258989 and 109259007.

It is not an unprimeable number, because it can be changed into a prime (109259041) 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, 5067 + ... + 15626.

It is an arithmetic number, because the mean of its divisors is an integer number (3911166).

Almost surely, 2109259040 is an apocalyptic number.

109259040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109259040 is an abundant number, since it is smaller than the sum of its proper divisors (266212896).

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

109259040 is a wasteful number, since it uses less digits than its factorization.

109259040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20722 (or 20714 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 109259040 is about 10452.7049130835. The cubic root of 109259040 is about 478.0637275491.

The spelling of 109259040 in words is "one hundred nine million, two hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 20693 41386 62079 82772 103465 124158 165544 206930 227623 248316 310395 331088 413860 455246 496632 620790 662176 682869 827720 910492 993264 1138115 1241580 1365738 1655440 1820984 1986528 2276230 2483160 2731476 3310880 3414345 3641968 4552460 4966320 5462952 6828690 7283936 9104920 9932640 10925904 13657380 18209840 21851808 27314760 36419680 54629520 109259040