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21539440 = 24513139149
BaseRepresentation
bin101001000101…
…0101001110000
31111112022120001
41102022221300
521003230230
62045355344
7351040126
oct122125160
944468501
1021539440
111118199a
127268b54
134602040
142c09916
151d570ca
hex148aa70

21539440 has 80 divisors (see below), whose sum is σ = 54684000. Its totient is φ = 7842816.

The previous prime is 21539417. The next prime is 21539449. The reversal of 21539440 is 4493512.

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

It is a junction number, because it is equal to n+sod(n) for n = 21539399 and 21539408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21539449) 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, 144486 + ... + 144634.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 221539440 is an apocalyptic number.

21539440 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 21539440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342000).

21539440 is an abundant number, since it is smaller than the sum of its proper divisors (33144560).

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

21539440 is a wasteful number, since it uses less digits than its factorization.

21539440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 21539440 is about 4641.0602236989. The cubic root of 21539440 is about 278.2348135985.

The spelling of 21539440 in words is "twenty-one million, five hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 139 149 208 260 278 298 520 556 596 695 745 1040 1112 1192 1390 1490 1807 1937 2224 2384 2780 2980 3614 3874 5560 5960 7228 7748 9035 9685 11120 11920 14456 15496 18070 19370 20711 28912 30992 36140 38740 41422 72280 77480 82844 103555 144560 154960 165688 207110 269243 331376 414220 538486 828440 1076972 1346215 1656880 2153944 2692430 4307888 5384860 10769720 21539440