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270196416 = 26327193527
BaseRepresentation
bin10000000110101…
…101111011000000
3200211102101210200
4100012231323000
51023132241131
642451125200
76460426440
oct2006557300
9624371720
10270196416
11129578626
12765a3800
1343c94349
1427c56120
1518ac32e6
hex101adec0

270196416 has 168 divisors, whose sum is σ = 931956480. Its totient is φ = 73115136.

The previous prime is 270196411. The next prime is 270196439. The reversal of 270196416 is 614691072.

270196416 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 9 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×2701964162 = 146012206438490112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270196411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74845 + ... + 78371.

It is an arithmetic number, because the mean of its divisors is an integer number (5547360).

Almost surely, 2270196416 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 270196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465978240).

270196416 is an abundant number, since it is smaller than the sum of its proper divisors (661760064).

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

270196416 is a wasteful number, since it uses less digits than its factorization.

270196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 270196416 is about 16437.6523871263. The cubic root of 270196416 is about 646.4870969624.

The spelling of 270196416 in words is "two hundred seventy million, one hundred ninety-six thousand, four hundred sixteen".