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21398640 = 2435163547
BaseRepresentation
bin101000110100…
…0010001110000
31111021011102020
41101220101300
520434224030
62042351440
7346612464
oct121502160
944234366
1021398640
111109612a
1271bb580
134582c23
142bb04a4
151d2a510
hex1468470

21398640 has 80 divisors (see below), whose sum is σ = 66864768. Its totient is φ = 5660928.

The previous prime is 21398623. The next prime is 21398647. The reversal of 21398640 is 4689312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21398647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38847 + ... + 39393.

Almost surely, 221398640 is an apocalyptic number.

21398640 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 21398640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33432384).

21398640 is an abundant number, since it is smaller than the sum of its proper divisors (45466128).

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

21398640 is a wasteful number, since it uses less digits than its factorization.

21398640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 21398640 is about 4625.8664053342. The cubic root of 21398640 is about 277.6272284055.

The spelling of 21398640 in words is "twenty-one million, three hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 547 652 815 978 1094 1304 1630 1641 1956 2188 2445 2608 2735 3260 3282 3912 4376 4890 5470 6520 6564 7824 8205 8752 9780 10940 13040 13128 16410 19560 21880 26256 32820 39120 43760 65640 89161 131280 178322 267483 356644 445805 534966 713288 891610 1069932 1337415 1426576 1783220 2139864 2674830 3566440 4279728 5349660 7132880 10699320 21398640