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2020647468 = 22371131931103
BaseRepresentation
bin111100001110000…
…1010001000101100
312012211012112020010
41320130022020230
513114241204333
6532301253220
7101034135330
oct17034121054
95184175203
102020647468
1194766a394
12484864210
132628263b8
141525117c0
15bc5e0563
hex7870a22c

2020647468 has 96 divisors (see below), whose sum is σ = 5469198336. Its totient is φ = 568737792.

The previous prime is 2020647467. The next prime is 2020647481. The reversal of 2020647468 is 8647460202.

It is a super-2 number, since 2×20206474682 = 8166032379869622048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2020647463) 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 31 ways as a sum of consecutive naturals, for example, 1831405 + ... + 1832507.

It is an arithmetic number, because the mean of its divisors is an integer number (56970816).

Almost surely, 22020647468 is an apocalyptic number.

2020647468 is a gapful number since it is divisible by the number (28) 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 2020647468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734599168).

2020647468 is an abundant number, since it is smaller than the sum of its proper divisors (3448550868).

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

2020647468 is a wasteful number, since it uses less digits than its factorization.

2020647468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2020647468 is about 44951.6125183513. The cubic root of 2020647468 is about 1264.2419112843.

The spelling of 2020647468 in words is "two billion, twenty million, six hundred forty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 193 226 339 386 452 579 678 772 791 1103 1158 1351 1356 1582 2206 2316 2373 2702 3164 3309 4053 4412 4746 5404 6618 7721 8106 9492 13236 15442 16212 21809 23163 30884 43618 46326 65427 87236 92652 124639 130854 152663 212879 249278 261708 305326 373917 425758 457989 498556 610652 638637 747834 851516 872473 915978 1277274 1490153 1495668 1744946 1831956 2554548 2617419 2980306 3489892 4470459 5234838 5960612 8940918 10469676 17881836 24055327 48110654 72165981 96221308 144331962 168387289 288663924 336774578 505161867 673549156 1010323734 2020647468