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874646460 = 2232512738261
BaseRepresentation
bin110100001000100…
…000101110111100
32020221210122101100
4310020200232330
53242402141320
6222442413100
730450241452
oct6410405674
92227718340
10874646460
11409795916
12204b01190
1310c28a5ac
148423a9d2
1551bbe790
hex34220bbc

874646460 has 72 divisors (see below), whose sum is σ = 2674054656. Its totient is φ = 231396480.

The previous prime is 874646459. The next prime is 874646527. The reversal of 874646460 is 64646478.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3730 + ... + 41990.

It is an arithmetic number, because the mean of its divisors is an integer number (37139648).

Almost surely, 2874646460 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 874646460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337027328).

874646460 is an abundant number, since it is smaller than the sum of its proper divisors (1799408196).

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

874646460 is a wasteful number, since it uses less digits than its factorization.

874646460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38403 (or 38398 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 874646460 is about 29574.4223950359. The cubic root of 874646460 is about 956.3367554251.

The spelling of 874646460 in words is "eight hundred seventy-four million, six hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 38261 76522 114783 153044 191305 229566 344349 382610 459132 573915 688698 765220 1147830 1377396 1721745 2295660 3443490 4859147 6886980 9718294 14577441 19436588 24295735 29154882 43732323 48591470 58309764 72887205 87464646 97182940 145774410 174929292 218661615 291548820 437323230 874646460