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107783440 = 2451347293
BaseRepresentation
bin1100110110010…
…10010100010000
321111210222002021
412123022110100
5210043032230
614410101224
72446100302
oct633122420
9244728067
10107783440
1155928326
123011a814
131943a4ab
1410459972
1596e0c7a
hex66ca510

107783440 has 20 divisors (see below), whose sum is σ = 250596684. Its totient is φ = 43113344.

The previous prime is 107783437. The next prime is 107783443. The reversal of 107783440 is 44387701.

It is an interprime number because it is at equal distance from previous prime (107783437) and next prime (107783443).

It can be written as a sum of positive squares in 2 ways, for example, as 71639296 + 36144144 = 8464^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×1077834404 (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107783396 and 107783405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107783443) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 673567 + ... + 673726.

Almost surely, 2107783440 is an apocalyptic number.

107783440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107783440 is an abundant number, since it is smaller than the sum of its proper divisors (142813244).

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

107783440 is a wasteful number, since it uses less digits than its factorization.

107783440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347306 (or 1347300 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 107783440 is about 10381.8803691817. The cubic root of 107783440 is about 475.9017992935.

The spelling of 107783440 in words is "one hundred seven million, seven hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1347293 2694586 5389172 6736465 10778344 13472930 21556688 26945860 53891720 107783440