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270906768 = 24341131613
BaseRepresentation
bin10000001001011…
…011010110010000
3200212202111020000
4100021123112100
51023323004033
642514250000
76466445436
oct2011332620
9625674200
10270906768
11129a132a0
1276886900
1344182782
1427d9cd56
1518bb3a13
hex1025b590

270906768 has 200 divisors, whose sum is σ = 884395776. Its totient is φ = 79315200.

The previous prime is 270906767. The next prime is 270906809. The reversal of 270906768 is 867609072.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (270906763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 441630 + ... + 442242.

Almost surely, 2270906768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270906768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442197888).

270906768 is an abundant number, since it is smaller than the sum of its proper divisors (613489008).

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

270906768 is a wasteful number, since it uses less digits than its factorization.

270906768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 270906768 is about 16459.2456692280. The cubic root of 270906768 is about 647.0531438788.

The spelling of 270906768 in words is "two hundred seventy million, nine hundred six thousand, seven hundred sixty-eight".