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272273400 = 23345275
BaseRepresentation
bin10000001110101…
…000111111111000
3200222022220220000
4100032220333320
51024200222100
643003433000
76514200000
oct2016507770
9628286800
10272273400
1112a767043
1277225760
1344540829
1428237000
1518d83900
hex103a8ff8

272273400 has 360 divisors, whose sum is σ = 1103244120. Its totient is φ = 62233920.

The previous prime is 272273383. The next prime is 272273423. The reversal of 272273400 is 4372272.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 38896197 + ... + 38896203.

It is an arithmetic number, because the mean of its divisors is an integer number (3064567).

Almost surely, 2272273400 is an apocalyptic number.

272273400 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 272273400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551622060).

272273400 is an abundant number, since it is smaller than the sum of its proper divisors (830970720).

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

272273400 is an frugal number, since it uses more digits than its factorization.

272273400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 272273400 is about 16500.7090756731. The cubic root of 272273400 is about 648.1393733133.

The spelling of 272273400 in words is "two hundred seventy-two million, two hundred seventy-three thousand, four hundred".