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109252440 = 233251147587
BaseRepresentation
bin1101000001100…
…00111101011000
321121120121011200
412200300331120
5210432034230
614501354200
72464426143
oct640607530
9247517150
10109252440
1156740a80
1230708960
131983301b
141071d05a
1598d1160
hex6830f58

109252440 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 25877760.

The previous prime is 109252439. The next prime is 109252477. The reversal of 109252440 is 44252901.

109252440 is a `hidden beast` number, since 10 + 92 + 524 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185827 + ... + 186413.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2109252440 is an apocalyptic number.

109252440 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 109252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

109252440 is an abundant number, since it is smaller than the sum of its proper divisors (287012520).

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

109252440 is a wasteful number, since it uses less digits than its factorization.

109252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 109252440 is about 10452.3892005608. The cubic root of 109252440 is about 478.0541012392.

The spelling of 109252440 in words is "one hundred nine million, two hundred fifty-two thousand, four hundred forty".