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135776416 = 2517249589
BaseRepresentation
bin10000001011111…
…00100010100000
3100110111011020011
420011330202200
5234224321131
621250054304
73236036416
oct1005744240
9313434204
10135776416
116a707916
123957a394
132218ba99
14140652b6
15bdc00b1
hex817c8a0

135776416 has 24 divisors (see below), whose sum is σ = 283035060. Its totient is φ = 63894528.

The previous prime is 135776411. The next prime is 135776437. The reversal of 135776416 is 614677531.

It can be written as a sum of positive squares in 2 ways, for example, as 134652816 + 1123600 = 11604^2 + 1060^2 .

It is not an unprimeable number, because it can be changed into a prime (135776411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124251 + ... + 125338.

Almost surely, 2135776416 is an apocalyptic number.

135776416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135776416 is an abundant number, since it is smaller than the sum of its proper divisors (147258644).

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

135776416 is a wasteful number, since it uses less digits than its factorization.

135776416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249616 (or 249608 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 135776416 is about 11652.3137616527. The cubic root of 135776416 is about 513.9743510949.

The spelling of 135776416 in words is "one hundred thirty-five million, seven hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 249589 499178 998356 1996712 3993424 4243013 7986848 8486026 16972052 33944104 67888208 135776416