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2026120320 = 273257311621
BaseRepresentation
bin111100011000100…
…0010010010000000
312020012111120120100
41320301002102000
513122141322240
6533014442400
7101131511220
oct17061022200
95205446510
102026120320
1194a768204
12486663400
132639c1483
14153138080
15bcd21e30
hex78c42480

2026120320 has 384 divisors, whose sum is σ = 8258964480. Its totient is φ = 447897600.

The previous prime is 2026120303. The next prime is 2026120339. The reversal of 2026120320 is 230216202.

2026120320 is a `hidden beast` number, since 20 + 2 + 612 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20261203202 = 8210327102233804800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2026120293 and 2026120302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249110 + ... + 1250730.

It is an arithmetic number, because the mean of its divisors is an integer number (21507720).

Almost surely, 22026120320 is an apocalyptic number.

2026120320 is a gapful number since it is divisible by the number (20) 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 2026120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129482240).

2026120320 is an abundant number, since it is smaller than the sum of its proper divisors (6232844160).

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

2026120320 is a wasteful number, since it uses less digits than its factorization.

2026120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2026120320 is about 45012.4462787794. The cubic root of 2026120320 is about 1265.3822671578.

Adding to 2026120320 its reverse (230216202), we get a palindrome (2256336522).

The spelling of 2026120320 in words is "two billion, twenty-six million, one hundred twenty thousand, three hundred twenty".