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109661280 = 2535228461
BaseRepresentation
bin1101000100101…
…00110001100000
321122100100222220
412202110301200
5211033130110
614514231040
72501051121
oct642246140
9248310886
10109661280
11569a0163
1230885480
1319947141
14107c8048
159962370
hex6894c60

109661280 has 48 divisors (see below), whose sum is σ = 345434544. Its totient is φ = 29242880.

The previous prime is 109661231. The next prime is 109661281. The reversal of 109661280 is 82166901.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109661281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113751 + ... + 114710.

It is an arithmetic number, because the mean of its divisors is an integer number (7196553).

Almost surely, 2109661280 is an apocalyptic number.

109661280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109661280 is an abundant number, since it is smaller than the sum of its proper divisors (235773264).

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

109661280 is a wasteful number, since it uses less digits than its factorization.

109661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228479 (or 228471 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 109661280 is about 10471.9281892114. The cubic root of 109661280 is about 478.6496770928.

It can be divided in two parts, 10966 and 1280, that added together give a triangular number (12246 = T156).

The spelling of 109661280 in words is "one hundred nine million, six hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 228461 456922 685383 913844 1142305 1370766 1827688 2284610 2741532 3426915 3655376 4569220 5483064 6853830 7310752 9138440 10966128 13707660 18276880 21932256 27415320 36553760 54830640 109661280