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135008416 = 254219013
BaseRepresentation
bin10000000110000…
…01000010100000
3100102001010201201
420003001002200
5234030232131
621221410544
73226360354
oct1003010240
9312033651
10135008416
116a232904
1239269a54
1321c8034a
1413d05464
15bcbc761
hex80c10a0

135008416 has 12 divisors (see below), whose sum is σ = 265797882. Its totient is φ = 67504192.

The previous prime is 135008411. The next prime is 135008429. The reversal of 135008416 is 614800531.

It can be written as a sum of positive squares in only one way, i.e., 92236816 + 42771600 = 9604^2 + 6540^2 .

It is not an unprimeable number, because it can be changed into a prime (135008411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2109475 + ... + 2109538.

Almost surely, 2135008416 is an apocalyptic number.

135008416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135008416 is a deficient number, since it is larger than the sum of its proper divisors (130789466).

135008416 is an equidigital number, since it uses as much as digits as its factorization.

135008416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219023 (or 4219015 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 135008416 is about 11619.3121999540. The cubic root of 135008416 is about 513.0034438982.

Adding to 135008416 its reverse (614800531), we get a palindrome (749808947).

It can be divided in two parts, 135008 and 416, that added together give a square (135424 = 3682).

The spelling of 135008416 in words is "one hundred thirty-five million, eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 4219013 8438026 16876052 33752104 67504208 135008416