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1820628541 = 73113220709
BaseRepresentation
bin110110010000100…
…1001011000111101
311200212211111211201
41230201021120331
512212040103131
6500354215501
763055041634
oct15441113075
94625744751
101820628541
11854774196
12429884591
132302635c4
14133b2651b
15a9c80761
hex6c84963d

1820628541 has 8 divisors (see below), whose sum is σ = 1861909560. Its totient is φ = 1779789312.

The previous prime is 1820628517. The next prime is 1820628571. The reversal of 1820628541 is 1458260281.

It can be written as a sum of positive squares in 4 ways, for example, as 92563641 + 1728064900 = 9621^2 + 41570^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1820628541 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1820628541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820628571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102106 + ... + 118603.

It is an arithmetic number, because the mean of its divisors is an integer number (232738695).

Almost surely, 21820628541 is an apocalyptic number.

It is an amenable number.

1820628541 is a deficient number, since it is larger than the sum of its proper divisors (41281019).

1820628541 is a wasteful number, since it uses less digits than its factorization.

1820628541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220895.

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 1820628541 is about 42668.8239936373. The cubic root of 1820628541 is about 1221.0696837585.

The spelling of 1820628541 in words is "one billion, eight hundred twenty million, six hundred twenty-eight thousand, five hundred forty-one".

Divisors: 1 73 113 8249 220709 16111757 24940117 1820628541