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135784020 = 22352263067
BaseRepresentation
bin10000001011111…
…10011001010100
3100110111112122210
420011332121110
5234230042040
621250153420
73236100531
oct1005763124
9313445583
10135784020
116a7125a9
1239582870
1322192398
1414067d88
15bdc2480
hex817e654

135784020 has 24 divisors (see below), whose sum is σ = 380195424. Its totient is φ = 36209056.

The previous prime is 135783983. The next prime is 135784027. The reversal of 135784020 is 20487531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135784027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131474 + ... + 1131593.

It is an arithmetic number, because the mean of its divisors is an integer number (15841476).

Almost surely, 2135784020 is an apocalyptic number.

135784020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135784020 is an abundant number, since it is smaller than the sum of its proper divisors (244411404).

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

135784020 is a wasteful number, since it uses less digits than its factorization.

135784020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263079 (or 2263077 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 135784020 is about 11652.6400442132. The cubic root of 135784020 is about 513.9839457607.

The spelling of 135784020 in words is "one hundred thirty-five million, seven hundred eighty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2263067 4526134 6789201 9052268 11315335 13578402 22630670 27156804 33946005 45261340 67892010 135784020