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21019440 = 2435136737
BaseRepresentation
bin101000000101…
…1101100110000
31110112220020210
41100023230300
520340110230
62030304120
7343443111
oct120135460
943486223
1021019440
1110957242
127058040
13447c450
142b12208
151ca2eb0
hex140bb30

21019440 has 80 divisors (see below), whose sum is σ = 70183008. Its totient is φ = 5173248.

The previous prime is 21019409. The next prime is 21019459. The reversal of 21019440 is 4491012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249 + ... + 6488.

Almost surely, 221019440 is an apocalyptic number.

21019440 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 21019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35091504).

21019440 is an abundant number, since it is smaller than the sum of its proper divisors (49163568).

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

21019440 is a wasteful number, since it uses less digits than its factorization.

21019440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 21019440 is about 4584.6962821980. The cubic root of 21019440 is about 275.9775238996.

The spelling of 21019440 in words is "twenty-one million, nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6737 13474 20211 26948 33685 40422 53896 67370 80844 87581 101055 107792 134740 161688 175162 202110 262743 269480 323376 350324 404220 437905 525486 538960 700648 808440 875810 1050972 1313715 1401296 1616880 1751620 2101944 2627430 3503240 4203888 5254860 7006480 10509720 21019440