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135004770 = 232511531301
BaseRepresentation
bin10000000110000…
…00001001100010
3100102000221201200
420003000021202
5234030123040
621221342030
73226343625
oct1003001142
9312027650
10135004770
116a23009a
1239267916
1321c7b7a4
1413d03dbc
15bcbb630
hex80c0262

135004770 has 48 divisors (see below), whose sum is σ = 351586872. Its totient is φ = 35942400.

The previous prime is 135004757. The next prime is 135004777. The reversal of 135004770 is 77400531.

It can be written as a sum of positive squares in 4 ways, for example, as 81378441 + 53626329 = 9021^2 + 7323^2 .

It is not an unprimeable number, because it can be changed into a prime (135004777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103120 + ... + 104420.

Almost surely, 2135004770 is an apocalyptic number.

135004770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135004770 is an abundant number, since it is smaller than the sum of its proper divisors (216582102).

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

135004770 is a wasteful number, since it uses less digits than its factorization.

135004770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 135004770 is about 11619.1553049264. The cubic root of 135004770 is about 512.9988258469.

The spelling of 135004770 in words is "one hundred thirty-five million, four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1153 1301 2306 2602 3459 3903 5765 6505 6918 7806 10377 11530 11709 13010 17295 19515 20754 23418 34590 39030 51885 58545 103770 117090 1500053 3000106 4500159 7500265 9000318 13500477 15000530 22500795 27000954 45001590 67502385 135004770