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135276600 = 23352225461
BaseRepresentation
bin10000001000000…
…10100000111000
3100102112202121110
420010002200320
5234112322400
621231240320
73231555264
oct1004024070
9312482543
10135276600
116a3a6348
12393790a0
1322045434
1413d750a4
15bd21e50
hex8102838

135276600 has 48 divisors (see below), whose sum is σ = 419359320. Its totient is φ = 36073600.

The previous prime is 135276587. The next prime is 135276601. The reversal of 135276600 is 6672531.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (135276601) 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 11 ways as a sum of consecutive naturals, for example, 112131 + ... + 113330.

Almost surely, 2135276600 is an apocalyptic number.

135276600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135276600 is an abundant number, since it is smaller than the sum of its proper divisors (284082720).

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

135276600 is a wasteful number, since it uses less digits than its factorization.

135276600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225480 (or 225471 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 135276600 is about 11630.8469167125. The cubic root of 135276600 is about 513.3429000672.

The spelling of 135276600 in words is "one hundred thirty-five million, two hundred seventy-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 225461 450922 676383 901844 1127305 1352766 1803688 2254610 2705532 3381915 4509220 5411064 5636525 6763830 9018440 11273050 13527660 16909575 22546100 27055320 33819150 45092200 67638300 135276600