Search a number
-
+
1797297120 = 253351724473
BaseRepresentation
bin110101100100000…
…1001001111100000
311122020221011011000
41223020021033200
512140102001440
6454202152000
762352526203
oct15310111740
94566834130
101797297120
11842588a23
12421ab2600
13228484a28
141309b193a
15a7bc2730
hex6b2093e0

1797297120 has 192 divisors, whose sum is σ = 6660843840. Its totient is φ = 451067904.

The previous prime is 1797297097. The next prime is 1797297133. The reversal of 1797297120 is 217927971.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61204 + ... + 85676.

It is an arithmetic number, because the mean of its divisors is an integer number (34691895).

Almost surely, 21797297120 is an apocalyptic number.

1797297120 is a gapful number since it is divisible by the number (10) 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 1797297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330421920).

1797297120 is an abundant number, since it is smaller than the sum of its proper divisors (4863546720).

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

1797297120 is a wasteful number, since it uses less digits than its factorization.

1797297120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24514 (or 24500 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 1797297120 is about 42394.5411580312. The cubic root of 1797297120 is about 1215.8312251332.

The spelling of 1797297120 in words is "one billion, seven hundred ninety-seven million, two hundred ninety-seven thousand, one hundred twenty".