Search a number
-
+
1097835984 = 24337331239
BaseRepresentation
bin100000101101111…
…1010010111010000
32211111202211212000
41001123322113100
54222021222414
6300534234000
736130311000
oct10133722720
92744684760
101097835984
11513777473
122677b5900
131465a39bb
14a5b38000
15665a9b09
hex416fa5d0

1097835984 has 320 divisors, whose sum is σ = 3809280000. Its totient is φ = 302279040.

The previous prime is 1097835929. The next prime is 1097835989. The reversal of 1097835984 is 4895387901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1097835984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097835989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4593337 + ... + 4593575.

It is an arithmetic number, because the mean of its divisors is an integer number (11904000).

Almost surely, 21097835984 is an apocalyptic number.

1097835984 is a gapful number since it is divisible by the number (14) 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 1097835984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904640000).

1097835984 is an abundant number, since it is smaller than the sum of its proper divisors (2711444016).

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

1097835984 is a wasteful number, since it uses less digits than its factorization.

1097835984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 1097835984 is about 33133.6080739783. The cubic root of 1097835984 is about 1031.6027405540.

The spelling of 1097835984 in words is "one billion, ninety-seven million, eight hundred thirty-five thousand, nine hundred eighty-four".