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21698000 = 245319571
BaseRepresentation
bin101001011000…
…1010111010000
31111211101001122
41102301113100
521023314000
62053021412
7352300322
oct122612720
944741048
1021698000
1111280035
127324868
13465926c
142c4b612
151d89085
hex14b15d0

21698000 has 80 divisors (see below), whose sum is σ = 55323840. Its totient is φ = 8208000.

The previous prime is 21697997. The next prime is 21698029. The reversal of 21698000 is 89612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37715 + ... + 38285.

It is an arithmetic number, because the mean of its divisors is an integer number (691548).

Almost surely, 221698000 is an apocalyptic number.

21698000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21698000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27661920).

21698000 is an abundant number, since it is smaller than the sum of its proper divisors (33625840).

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

21698000 is a wasteful number, since it uses less digits than its factorization.

21698000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 21698000 is about 4658.1112051989. Note that the first 3 decimals coincide. The cubic root of 21698000 is about 278.9158758549.

The spelling of 21698000 in words is "twenty-one million, six hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 571 760 950 1000 1142 1520 1900 2000 2284 2375 2855 3800 4568 4750 5710 7600 9136 9500 10849 11420 14275 19000 21698 22840 28550 38000 43396 45680 54245 57100 71375 86792 108490 114200 142750 173584 216980 228400 271225 285500 433960 542450 571000 867920 1084900 1142000 1356125 2169800 2712250 4339600 5424500 10849000 21698000