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2020009824 = 253271001989
BaseRepresentation
bin111100001100110…
…1110011101100000
312012210000010112200
41320121232131200
513114110303244
6532235453200
7101025541320
oct17031563540
95183003480
102020009824
11947274308
124845b7200
132626620b1
141523c7280
15bc516669
hex7866e760

2020009824 has 72 divisors (see below), whose sum is σ = 6565038480. Its totient is φ = 577145088.

The previous prime is 2020009811. The next prime is 2020009841. The reversal of 2020009824 is 4289000202.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498979 + ... + 503010.

It is an arithmetic number, because the mean of its divisors is an integer number (91181090).

Almost surely, 22020009824 is an apocalyptic number.

2020009824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2020009824 is an abundant number, since it is smaller than the sum of its proper divisors (4545028656).

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

2020009824 is a wasteful number, since it uses less digits than its factorization.

2020009824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002012 (or 1002001 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2020009824 is about 44944.5193989212. The cubic root of 2020009824 is about 1264.1089141315.

The spelling of 2020009824 in words is "two billion, twenty million, nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 1001989 2003978 3005967 4007956 6011934 7013923 8015912 9017901 12023868 14027846 16031824 18035802 21041769 24047736 28055692 32063648 36071604 42083538 48095472 56111384 63125307 72143208 84167076 96190944 112222768 126250614 144286416 168334152 224445536 252501228 288572832 336668304 505002456 673336608 1010004912 2020009824