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103299440 = 24523311811
BaseRepresentation
bin1100010100000…
…11100101110000
321012101011012012
412022003211300
5202421040230
614130022052
72363013356
oct612034560
9235334165
10103299440
1153345442
122a717928
131852a53a
14da0d7d6
159107395
hex6283970

103299440 has 80 divisors (see below), whose sum is σ = 258840576. Its totient is φ = 38227200.

The previous prime is 103299433. The next prime is 103299499. The reversal of 103299440 is 44992301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 103299397 and 103299406.

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 15 ways as a sum of consecutive naturals, for example, 56135 + ... + 57945.

Almost surely, 2103299440 is an apocalyptic number.

103299440 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 103299440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129420288).

103299440 is an abundant number, since it is smaller than the sum of its proper divisors (155541136).

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

103299440 is a wasteful number, since it uses less digits than its factorization.

103299440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 103299440 is about 10163.6332086513. The cubic root of 103299440 is about 469.2086275152.

The spelling of 103299440 in words is "one hundred three million, two hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1811 1840 2480 2852 3565 3622 5704 7130 7244 9055 11408 14260 14488 18110 28520 28976 36220 41653 56141 57040 72440 83306 112282 144880 166612 208265 224564 280705 333224 416530 449128 561410 666448 833060 898256 1122820 1291243 1666120 2245640 2582486 3332240 4491280 5164972 6456215 10329944 12912430 20659888 25824860 51649720 103299440