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270868416 = 26371337419
BaseRepresentation
bin10000001001010…
…001111111000000
3200212200112121120
4100021101333000
51023320242131
642513352240
76466225560
oct2011217700
9625615546
10270868416
111299974a5
1276868680
134416b190
1427d8cda0
1518ba7496
hex10251fc0

270868416 has 224 divisors, whose sum is σ = 908060160. Its totient is φ = 69341184.

The previous prime is 270868397. The next prime is 270868417. The reversal of 270868416 is 614868072.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270868417) 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 31 ways as a sum of consecutive naturals, for example, 646255 + ... + 646673.

It is an arithmetic number, because the mean of its divisors is an integer number (4053840).

Almost surely, 2270868416 is an apocalyptic number.

270868416 is a gapful number since it is divisible by the number (26) 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 270868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454030080).

270868416 is an abundant number, since it is smaller than the sum of its proper divisors (637191744).

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

270868416 is a wasteful number, since it uses less digits than its factorization.

270868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 270868416 is about 16458.0805685232. The cubic root of 270868416 is about 647.0226082158.

The spelling of 270868416 in words is "two hundred seventy million, eight hundred sixty-eight thousand, four hundred sixteen".