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135092480 = 285105541
BaseRepresentation
bin10000000110101…
…01100100000000
3100102012102001012
420003111210000
5234040424410
621223300052
73230160425
oct1003254400
9312172035
10135092480
116a28aa86
12392aa628
1321cac6a3
1413d27d4c
15bcd7605
hex80d5900

135092480 has 36 divisors (see below), whose sum is σ = 323591772. Its totient is φ = 54036480.

The previous prime is 135092471. The next prime is 135092509. The reversal of 135092480 is 84290531.

It can be written as a sum of positive squares in 2 ways, for example, as 89718784 + 45373696 = 9472^2 + 6736^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51491 + ... + 54050.

Almost surely, 2135092480 is an apocalyptic number.

135092480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135092480 is an abundant number, since it is smaller than the sum of its proper divisors (188499292).

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

135092480 is an equidigital number, since it uses as much as digits as its factorization.

135092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105562 (or 105548 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 135092480 is about 11622.9290628481. The cubic root of 135092480 is about 513.1098969504.

The spelling of 135092480 in words is "one hundred thirty-five million, ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 105541 211082 422164 527705 844328 1055410 1688656 2110820 3377312 4221640 6754624 8443280 13509248 16886560 27018496 33773120 67546240 135092480