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103451440 = 2451379439
BaseRepresentation
bin1100010101010…
…00101100110000
321012122212200211
412022220230300
5202440421230
614133153504
72364215461
oct612505460
9235585624
10103451440
1153439664
122a78b894
1318581791
14da4cd68
15913742a
hex62a8b30

103451440 has 40 divisors (see below), whose sum is σ = 242305920. Its totient is φ = 41074176.

The previous prime is 103451429. The next prime is 103451471. The reversal of 103451440 is 44154301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6241 + ... + 15679.

It is an arithmetic number, because the mean of its divisors is an integer number (6057648).

Almost surely, 2103451440 is an apocalyptic number.

103451440 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 103451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121152960).

103451440 is an abundant number, since it is smaller than the sum of its proper divisors (138854480).

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

103451440 is a wasteful number, since it uses less digits than its factorization.

103451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9589 (or 9583 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 103451440 is about 10171.1081008905. The cubic root of 103451440 is about 469.4386537987.

The spelling of 103451440 in words is "one hundred three million, four hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 9439 10960 18878 37756 47195 75512 94390 151024 188780 377560 755120 1293143 2586286 5172572 6465715 10345144 12931430 20690288 25862860 51725720 103451440