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272674080 = 25335771127
BaseRepresentation
bin10000010000001…
…010110100100000
3201000002021112000
4100100022310200
51024301032310
643020204000
76520456110
oct2020126440
9630067460
10272674080
1112aa10088
1277399600
1344651013
14282dd040
1518e124c0
hex1040ad20

272674080 has 384 divisors, whose sum is σ = 1114767360. Its totient is φ = 60963840.

The previous prime is 272674069. The next prime is 272674097. The reversal of 272674080 is 80476272.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146977 + ... + 2147103.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2272674080 is an apocalyptic number.

272674080 is a gapful number since it is divisible by the number (20) 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 272674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383680).

272674080 is an abundant number, since it is smaller than the sum of its proper divisors (842093280).

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

272674080 is a wasteful number, since it uses less digits than its factorization.

272674080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 272674080 is about 16512.8459085646. The cubic root of 272674080 is about 648.4571534044.

The spelling of 272674080 in words is "two hundred seventy-two million, six hundred seventy-four thousand, eighty".