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109740672 = 273295261
BaseRepresentation
bin1101000101010…
…00001010000000
321122111101220100
412202220022000
5211043200142
614520042400
72501531436
oct642501200
9248441810
10109740672
1156a44878
1230903400
1319974312
1410808d56
15997ab4c
hex68a8280

109740672 has 48 divisors (see below), whose sum is σ = 315793530. Its totient is φ = 36579840.

The previous prime is 109740667. The next prime is 109740679. The reversal of 109740672 is 276047901.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 106998336 + 2742336 = 10344^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1097406723 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (109740679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46479 + ... + 48782.

Almost surely, 2109740672 is an apocalyptic number.

109740672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109740672 is an abundant number, since it is smaller than the sum of its proper divisors (206052858).

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

109740672 is an equidigital number, since it uses as much as digits as its factorization.

109740672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95281 (or 95266 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 109740672 is about 10475.7182092685. The cubic root of 109740672 is about 478.7651593252.

The spelling of 109740672 in words is "one hundred nine million, seven hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 95261 190522 285783 381044 571566 762088 857349 1143132 1524176 1714698 2286264 3048352 3429396 4572528 6096704 6858792 9145056 12193408 13717584 18290112 27435168 36580224 54870336 109740672