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109958144 = 210167643
BaseRepresentation
bin1101000110111…
…01010000000000
321122220110012212
412203131100000
5211122130034
614524441252
72503425452
oct643352000
9248813185
10109958144
11570831aa
12309a9228
1319a1c2ba
14108642d2
1599c02ce
hex68dd400

109958144 has 44 divisors (see below), whose sum is σ = 221469024. Its totient is φ = 54564864.

The previous prime is 109958141. The next prime is 109958171. The reversal of 109958144 is 441859901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109958141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170687 + ... + 171329.

Almost surely, 2109958144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110734512).

109958144 is an abundant number, since it is smaller than the sum of its proper divisors (111510880).

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

109958144 is an equidigital number, since it uses as much as digits as its factorization.

109958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 109958144 is about 10486.0928853410. The cubic root of 109958144 is about 479.0812053693.

The spelling of 109958144 in words is "one hundred nine million, nine hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 512 643 668 1024 1286 1336 2572 2672 5144 5344 10288 10688 20576 21376 41152 42752 82304 85504 107381 164608 171008 214762 329216 429524 658432 859048 1718096 3436192 6872384 13744768 27489536 54979072 109958144