Search a number
-
+
1076106220 = 225727727749
BaseRepresentation
bin100000000100100…
…0001001111101100
32202222212212012221
41000021001033230
54200440344340
6254440405124
735444515630
oct10011011754
92688785187
101076106220
11502485592
122604767a4
13141c36157
14a2cbcdc0
156471644a
hex402413ec

1076106220 has 48 divisors (see below), whose sum is σ = 2592072000. Its totient is φ = 367605504.

The previous prime is 1076106203. The next prime is 1076106233. The reversal of 1076106220 is 226016701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24906 + ... + 52654.

It is an arithmetic number, because the mean of its divisors is an integer number (54001500).

Almost surely, 21076106220 is an apocalyptic number.

1076106220 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 1076106220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296036000).

1076106220 is an abundant number, since it is smaller than the sum of its proper divisors (1515965780).

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

1076106220 is a wasteful number, since it uses less digits than its factorization.

1076106220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28042 (or 28040 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1076106220 is about 32804.0579806828. The cubic root of 1076106220 is about 1024.7510702264.

The spelling of 1076106220 in words is "one billion, seventy-six million, one hundred six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 277 554 1108 1385 1939 2770 3878 5540 7756 9695 19390 27749 38780 55498 110996 138745 194243 277490 388486 554980 776972 971215 1942430 3884860 7686473 15372946 30745892 38432365 53805311 76864730 107610622 153729460 215221244 269026555 538053110 1076106220