Search a number
-
+
1102059000 = 2333537417
BaseRepresentation
bin100000110110000…
…0001010111111000
32211210201101202000
41001230001113320
54224111342000
6301204541000
736211230000
oct10154012770
92753641660
101102059000
115160a1269
122690b1760
13147421c23
14a6517000
1566b41000
hex41b015f8

1102059000 has 640 divisors, whose sum is σ = 4719124800. Its totient is φ = 237081600.

The previous prime is 1102058999. The next prime is 1102059029. The reversal of 1102059000 is 9502011.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 159 ways as a sum of consecutive naturals, for example, 64826992 + ... + 64827008.

Almost surely, 21102059000 is an apocalyptic number.

1102059000 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 1102059000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359562400).

1102059000 is an abundant number, since it is smaller than the sum of its proper divisors (3617065800).

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

1102059000 is an equidigital number, since it uses as much as digits as its factorization.

1102059000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1102059000 is about 33197.2739844705. The cubic root of 1102059000 is about 1032.9237942363.

The spelling of 1102059000 in words is "one billion, one hundred two million, fifty-nine thousand".