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1641513040 = 24573281081
BaseRepresentation
bin110000111010111…
…1000000001010000
311020101210111120021
41201311320001100
511330211404130
6430515153224
755451426206
oct14165700120
94211714507
101641513040
11772656052
123998a5814
1320210c1bb
1411801d076
159919e37a
hex61d78050

1641513040 has 40 divisors (see below), whose sum is σ = 3868812648. Its totient is φ = 647608320.

The previous prime is 1641513017. The next prime is 1641513053. The reversal of 1641513040 is 403151461.

It can be written as a sum of positive squares in 4 ways, for example, as 205406224 + 1436106816 = 14332^2 + 37896^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1641512996 and 1641513014.

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, 134701 + ... + 146380.

Almost surely, 21641513040 is an apocalyptic number.

1641513040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1641513040 is an abundant number, since it is smaller than the sum of its proper divisors (2227299608).

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

1641513040 is a wasteful number, since it uses less digits than its factorization.

1641513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281167 (or 281161 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1641513040 is about 40515.5900857929. The cubic root of 1641513040 is about 1179.6362567446.

The spelling of 1641513040 in words is "one billion, six hundred forty-one million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 281081 562162 1124324 1405405 2248648 2810810 4497296 5621620 11243240 20518913 22486480 41037826 82075652 102594565 164151304 205189130 328302608 410378260 820756520 1641513040