Search a number
-
+
1097305020 = 22325742539
BaseRepresentation
bin100000101100111…
…1000101110111100
32211110202212111200
41001121320232330
54221402230040
6300515015500
736122640000
oct10131705674
92743685450
101097305020
11513444559
1226759a590
13146449116
14a5a3a700
1566502630
hex41678bbc

1097305020 has 180 divisors, whose sum is σ = 3884538840. Its totient is φ = 250713792.

The previous prime is 1097304961. The next prime is 1097305037. The reversal of 1097305020 is 205037901.

1097305020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 430911 + ... + 433449.

Almost surely, 21097305020 is an apocalyptic number.

1097305020 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 1097305020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942269420).

1097305020 is an abundant number, since it is smaller than the sum of its proper divisors (2787233820).

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

1097305020 is a wasteful number, since it uses less digits than its factorization.

1097305020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1097305020 is about 33125.5946361722. The cubic root of 1097305020 is about 1031.4364035498.

The spelling of 1097305020 in words is "one billion, ninety-seven million, three hundred five thousand, twenty".