Search a number
-
+
109942176 = 2536717093
BaseRepresentation
bin1101000110110…
…01010110100000
321122212122022110
412203121112200
5211121122201
614524235320
72503331061
oct643312640
9248778273
10109942176
1157072203
123099bb40
1319a14c56
141085c568
1599ba6d6
hex68d95a0

109942176 has 48 divisors (see below), whose sum is σ = 292922784. Its totient is φ = 36098304.

The previous prime is 109942171. The next prime is 109942177. The reversal of 109942176 is 671249901.

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

It is a super-2 number, since 2×1099421762 = 24174564127229952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109942171) 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, 2115 + ... + 14978.

It is an arithmetic number, because the mean of its divisors is an integer number (6102558).

Almost surely, 2109942176 is an apocalyptic number.

109942176 is a gapful number since it is divisible by the number (16) 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 109942176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146461392).

109942176 is an abundant number, since it is smaller than the sum of its proper divisors (182980608).

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

109942176 is a wasteful number, since it uses less digits than its factorization.

109942176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17173 (or 17165 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 109942176 is about 10485.3314682942. The cubic root of 109942176 is about 479.0580136992.

The spelling of 109942176 in words is "one hundred nine million, nine hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 17093 34186 51279 68372 102558 136744 205116 273488 410232 546976 820464 1145231 1640928 2290462 3435693 4580924 6871386 9161848 13742772 18323696 27485544 36647392 54971088 109942176