Search a number
-
+
1026698220 = 223354179587
BaseRepresentation
bin111101001100100…
…010101111101100
32122112220200012000
4331030202233230
54100313320340
6245513412300
734304535162
oct7514425754
92575820160
101026698220
114875a9629
12247a0a090
13134927352
149a4db232
1560206d30
hex3d322bec

1026698220 has 192 divisors, whose sum is σ = 3319142400. Its totient is φ = 263278080.

The previous prime is 1026698213. The next prime is 1026698243. The reversal of 1026698220 is 228966201.

It is a happy number.

1026698220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10266982204 (a number of 37 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1748767 + ... + 1749353.

It is an arithmetic number, because the mean of its divisors is an integer number (17287200).

Almost surely, 21026698220 is an apocalyptic number.

1026698220 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 1026698220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659571200).

1026698220 is an abundant number, since it is smaller than the sum of its proper divisors (2292444180).

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

1026698220 is a wasteful number, since it uses less digits than its factorization.

1026698220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1026698220 is about 32042.1319515416. The cubic root of 1026698220 is about 1008.8213614335.

It can be divided in two parts, 102669 and 8220, that added together give a square (110889 = 3332).

The spelling of 1026698220 in words is "one billion, twenty-six million, six hundred ninety-eight thousand, two hundred twenty".