Search a number
-
+
1097106192 = 2432713292887
BaseRepresentation
bin100000101100100…
…1000001100010000
32211110101202202200
41001121020030100
54221324344232
6300510443200
736121151220
oct10131101420
92743352680
101097106192
11513319136
12267503500
131463a9780
14a59c8080
15664b377c
hex41648310

1097106192 has 240 divisors, whose sum is σ = 3910583040. Its totient is φ = 279272448.

The previous prime is 1097106161. The next prime is 1097106193. The reversal of 1097106192 is 2916017901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1097106193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378573 + ... + 381459.

It is an arithmetic number, because the mean of its divisors is an integer number (16294096).

Almost surely, 21097106192 is an apocalyptic number.

1097106192 is a gapful number since it is divisible by the number (12) 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 1097106192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955291520).

1097106192 is an abundant number, since it is smaller than the sum of its proper divisors (2813476848).

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

1097106192 is a wasteful number, since it uses less digits than its factorization.

1097106192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 1097106192 is about 33122.5933767270. The cubic root of 1097106192 is about 1031.3741021777.

The spelling of 1097106192 in words is "one billion, ninety-seven million, one hundred six thousand, one hundred ninety-two".