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20097040 = 2452291097
BaseRepresentation
bin100110010101…
…0100000010000
31101211000221211
41030222200100
520121101130
61554425504
7332551645
oct114524020
941730854
1020097040
1110387227
126892294
134218652
142951dcc
151b6ea2a
hex132a810

20097040 has 40 divisors (see below), whose sum is σ = 46972440. Its totient is φ = 7996416.

The previous prime is 20097019. The next prime is 20097053. The reversal of 20097040 is 4079002.

It can be written as a sum of positive squares in 4 ways, for example, as 4129024 + 15968016 = 2032^2 + 3996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17772 + ... + 18868.

It is an arithmetic number, because the mean of its divisors is an integer number (1174311).

Almost surely, 220097040 is an apocalyptic number.

20097040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20097040 is an abundant number, since it is smaller than the sum of its proper divisors (26875400).

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

20097040 is a wasteful number, since it uses less digits than its factorization.

20097040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 20097040 is about 4482.9722283324. The cubic root of 20097040 is about 271.8800653480.

The spelling of 20097040 in words is "twenty million, ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1097 1145 1832 2194 2290 3664 4388 4580 5485 8776 9160 10970 17552 18320 21940 43880 87760 251213 502426 1004852 1256065 2009704 2512130 4019408 5024260 10048520 20097040