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1827020468 = 2272132192903
BaseRepresentation
bin110110011100110…
…0001111010110100
311201022212020220202
41230321201322310
512220204123333
6501143220032
763163263200
oct15471417264
94638766822
101827020468
1185833a579
1242ba47618
13231690b00
1413490bb00
15aa5e45e8
hex6ce61eb4

1827020468 has 108 divisors (see below), whose sum is σ = 4240827360. Its totient is φ = 684500544.

The previous prime is 1827020407. The next prime is 1827020471. The reversal of 1827020468 is 8640207281.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 627905 + ... + 630807.

It is an arithmetic number, because the mean of its divisors is an integer number (39266920).

Almost surely, 21827020468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827020468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120413680).

1827020468 is an abundant number, since it is smaller than the sum of its proper divisors (2413806892).

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

1827020468 is a wasteful number, since it uses less digits than its factorization.

1827020468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 1827020468 is about 42743.6599743167. The cubic root of 1827020468 is about 1222.4970062224.

The spelling of 1827020468 in words is "one billion, eight hundred twenty-seven million, twenty thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 169 182 196 247 266 338 364 494 532 637 676 931 988 1183 1274 1729 1862 2366 2548 2903 3211 3458 3724 4732 5806 6422 6916 8281 11612 12103 12844 16562 20321 22477 24206 33124 37739 40642 44954 48412 55157 75478 81284 89908 110314 142247 150956 157339 220628 264173 284494 314678 386099 490607 528346 568988 629356 717041 772198 981214 1056692 1434082 1544396 1849211 1962428 2702693 2868164 3434249 3698422 5019287 5405386 6868498 7396844 9321533 10038574 10810772 13736996 18643066 20077148 24039743 35135009 37286132 48079486 65250731 70270018 96158972 130501462 140540036 261002924 456755117 913510234 1827020468