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270729216 = 2163517
BaseRepresentation
bin10000001000110…
…000000000000000
3200212102110200000
4100020300000000
51023301313331
642510400000
76465106002
oct2010600000
9625373600
10270729216
1112990195a
1276800000
134411ca04
1427d54372
1518b7b0e6
hex10230000

270729216 has 204 divisors, whose sum is σ = 858777192. Its totient is φ = 84934656.

The previous prime is 270729167. The next prime is 270729223. The reversal of 270729216 is 612927072.

It is a tau number, because it is divible by the number of its divisors (204).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15925240 + ... + 15925256.

Almost surely, 2270729216 is an apocalyptic number.

270729216 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429388596).

270729216 is an abundant number, since it is smaller than the sum of its proper divisors (588047976).

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

270729216 is an frugal number, since it uses more digits than its factorization.

270729216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 270729216 is about 16453.8510993627. The cubic root of 270729216 is about 646.9117536773.

The spelling of 270729216 in words is "two hundred seventy million, seven hundred twenty-nine thousand, two hundred sixteen".