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2020135000 = 23541331079
BaseRepresentation
bin111100001101000…
…1101000001011000
312012210020111020211
41320122031001120
513114123310000
6532242300504
7101026602262
oct17032150130
95183214224
102020135000
1194734a364
12484657734
132626a7070
1415241ab32
15bc53d7ba
hex7868d058

2020135000 has 80 divisors (see below), whose sum is σ = 5097430800. Its totient is φ = 745872000.

The previous prime is 2020134947. The next prime is 2020135001. The reversal of 2020135000 is 5310202.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020135001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 49461 + ... + 80539.

It is an arithmetic number, because the mean of its divisors is an integer number (63717885).

Almost surely, 22020135000 is an apocalyptic number.

2020135000 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 2020135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548715400).

2020135000 is an abundant number, since it is smaller than the sum of its proper divisors (3077295800).

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

2020135000 is a wasteful number, since it uses less digits than its factorization.

2020135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31118 (or 31099 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2020135000 is about 44945.9119386847. The cubic root of 2020135000 is about 1264.1350250324.

Adding to 2020135000 its reverse (5310202), we get a palindrome (2025445202).

The spelling of 2020135000 in words is "two billion, twenty million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1250 1300 1625 2500 2600 3250 5000 6500 8125 13000 16250 31079 32500 62158 65000 124316 155395 248632 310790 404027 621580 776975 808054 1243160 1553950 1616108 2020135 3107900 3232216 3884875 4040270 6215800 7769750 8080540 10100675 15539500 16161080 19424375 20201350 31079000 38848750 40402700 50503375 77697500 80805400 101006750 155395000 202013500 252516875 404027000 505033750 1010067500 2020135000