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270300128 = 2575032399
BaseRepresentation
bin10000000111000…
…111001111100000
3200211121200001212
4100013013033200
51023144101003
642453245252
76461341010
oct2007071740
9624550055
10270300128
1112963953a
1276633828
1343ccc607
1427c81c40
1518ae3dd8
hex101c73e0

270300128 has 48 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 115564416.

The previous prime is 270300113. The next prime is 270300131. The reversal of 270300128 is 821003072.

270300128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111473 + ... + 113871.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2270300128 is an apocalyptic number.

270300128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

270300128 is an abundant number, since it is smaller than the sum of its proper divisors (339338272).

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

270300128 is a wasteful number, since it uses less digits than its factorization.

270300128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 270300128 is about 16440.8067928554. The cubic root of 270300128 is about 646.5698020972.

The spelling of 270300128 in words is "two hundred seventy million, three hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 503 1006 2012 2399 3521 4024 4798 7042 8048 9596 14084 16096 16793 19192 28168 33586 38384 56336 67172 76768 112672 134344 268688 537376 1206697 2413394 4826788 8446879 9653576 16893758 19307152 33787516 38614304 67575032 135150064 270300128