Search a number
-
+
110994240 = 2635783199
BaseRepresentation
bin1101001110110…
…10001101000000
321201212002110210
412213122031000
5211403303430
615002554120
72515302240
oct647321500
9251762423
10110994240
1157720685
1231208940
1319cc2a86
1410a53b20
159b272b0
hex69da340

110994240 has 224 divisors, whose sum is σ = 409651200. Its totient is φ = 24938496.

The previous prime is 110994227. The next prime is 110994263. The reversal of 110994240 is 42499011.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 110994198 and 110994207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557661 + ... + 557859.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2110994240 is an apocalyptic number.

110994240 is a gapful number since it is divisible by the number (10) 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 110994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

110994240 is an abundant number, since it is smaller than the sum of its proper divisors (298656960).

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

110994240 is a wasteful number, since it uses less digits than its factorization.

110994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 110994240 is about 10535.3803918036. The cubic root of 110994240 is about 480.5812403264.

The spelling of 110994240 in words is "one hundred ten million, nine hundred ninety-four thousand, two hundred forty".