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109969440 = 25357231423
BaseRepresentation
bin1101000111000…
…00000000100000
321122221000201020
412203200000200
5211123010230
614525005440
72503503420
oct643400040
9248830636
10109969440
1157090739
12309b3880
1319a24499
1410868480
1599c3810
hex68e0020

109969440 has 192 divisors, whose sum is σ = 413392896. Its totient is φ = 24026112.

The previous prime is 109969429. The next prime is 109969441. The reversal of 109969440 is 44969901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 109969392 and 109969401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109969441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76569 + ... + 77991.

It is an arithmetic number, because the mean of its divisors is an integer number (2153088).

Almost surely, 2109969440 is an apocalyptic number.

109969440 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 109969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206696448).

109969440 is an abundant number, since it is smaller than the sum of its proper divisors (303423456).

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

109969440 is a wasteful number, since it uses less digits than its factorization.

109969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 109969440 is about 10486.6314896634. The cubic root of 109969440 is about 479.0976101448.

The spelling of 109969440 in words is "one hundred nine million, nine hundred sixty-nine thousand, four hundred forty".