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7270972900 = 225285272
BaseRepresentation
bin1101100010110001…
…00011110111100100
3200202201121200201121
412301120203313210
5104342332113100
63201254103324
7345116151502
oct66130436744
920681550647
107270972900
1130a1302614
1214ab04ab44
138bb4ac839
144cd935672
152c84e251a
hex1b1623de4

7270972900 has 27 divisors (see below), whose sum is σ = 15779861769. Its totient is φ = 2908048080.

The previous prime is 7270972867. The next prime is 7270972927. The reversal of 7270972900 is 92790727.

The square root of 7270972900 is 85270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2617550244 + 4653422656 = 51162^2 + 68216^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 848437 + ... + 856963.

Almost surely, 27270972900 is an apocalyptic number.

7270972900 is the 85270-th square number.

It is an amenable number.

7270972900 is an abundant number, since it is smaller than the sum of its proper divisors (8508888869).

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

7270972900 is an frugal number, since it uses more digits than its factorization.

7270972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17068 (or 8534 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 43.

The cubic root of 7270972900 is about 1937.3028111493.

The spelling of 7270972900 in words is "seven billion, two hundred seventy million, nine hundred seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 8527 17054 34108 42635 85270 170540 213175 426350 852700 72709729 145419458 290838916 363548645 727097290 1454194580 1817743225 3635486450 7270972900