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2095248020 = 225239294903
BaseRepresentation
bin111110011100010…
…1111001010010100
312102000120121221112
41330320233022110
513242340414040
6543524234152
7102631212545
oct17470571224
95360517845
102095248020
11985792938
124a583b958
13275115c38
1415c3b04cc
15c3e29365
hex7ce2f294

2095248020 has 48 divisors (see below), whose sum is σ = 4597205760. Its totient is φ = 800633856.

The previous prime is 2095248019. The next prime is 2095248041. The reversal of 2095248020 is 208425902.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 424889 + ... + 429791.

It is an arithmetic number, because the mean of its divisors is an integer number (95775120).

Almost surely, 22095248020 is an apocalyptic number.

2095248020 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 2095248020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298602880).

2095248020 is an abundant number, since it is smaller than the sum of its proper divisors (2501957740).

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

2095248020 is a wasteful number, since it uses less digits than its factorization.

2095248020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 2095248020 is about 45773.8792325929. The cubic root of 2095248020 is about 1279.6125169899.

The spelling of 2095248020 in words is "two billion, ninety-five million, two hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 929 1858 3716 4645 4903 9290 9806 18580 19612 21367 24515 42734 49030 85468 98060 106835 112769 213670 225538 427340 451076 563845 1127690 2255380 4554887 9109774 18219548 22774435 45548870 91097740 104762401 209524802 419049604 523812005 1047624010 2095248020