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2020130024 = 2311294143449
BaseRepresentation
bin111100001101000…
…1011110011101000
312012210020020102112
41320122023303220
513114123130044
6532242221452
7101026551623
oct17032136350
95183206375
102020130024
11947346650
12484654888
132626a4a13
14152418dba
15bc53c09e
hex7868bce8

2020130024 has 128 divisors (see below), whose sum is σ = 4490640000. Its totient is φ = 842956800.

The previous prime is 2020130023. The next prime is 2020130113. The reversal of 2020130024 is 4200310202.

It is a junction number, because it is equal to n+sod(n) for n = 2020129990 and 2020130008.

It is not an unprimeable number, because it can be changed into a prime (2020130023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4498952 + ... + 4499400.

It is an arithmetic number, because the mean of its divisors is an integer number (35083125).

Almost surely, 22020130024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245320000).

2020130024 is an abundant number, since it is smaller than the sum of its proper divisors (2470509976).

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

2020130024 is a wasteful number, since it uses less digits than its factorization.

2020130024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2020130024 is about 44945.8565832269. The cubic root of 2020130024 is about 1264.1339870917.

Adding to 2020130024 its reverse (4200310202), we get a palindrome (6220440226).

The spelling of 2020130024 in words is "two billion, twenty million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 29 41 43 44 58 82 86 88 116 164 172 232 319 328 344 449 451 473 638 898 902 946 1189 1247 1276 1763 1796 1804 1892 2378 2494 2552 3526 3592 3608 3784 4756 4939 4988 7052 9512 9878 9976 13021 13079 13717 14104 18409 19307 19393 19756 26042 26158 27434 36818 38614 38786 39512 51127 52084 52316 54868 73636 77228 77572 102254 104168 104632 109736 143231 147272 154456 155144 202499 204508 212377 286462 404998 409016 424754 533861 559903 562397 572924 791587 809996 849508 1067722 1119806 1124794 1145848 1583174 1619992 1699016 2135444 2239612 2249588 3166348 4270888 4479224 4499176 5872471 6158933 6332696 8707457 11744942 12317866 17414914 22956023 23489884 24635732 34829828 45912046 46979768 49271464 69659656 91824092 183648184 252516253 505032506 1010065012 2020130024