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21478128 = 243797659
BaseRepresentation
bin101000111101…
…1101011110000
31111102012110020
41101323223300
520444300003
62044203440
7350363310
oct121735360
944365406
1021478128
111113a921
127239580
1345b0169
142bd1440
151d43d53
hex147baf0

21478128 has 80 divisors (see below), whose sum is σ = 64162560. Its totient is φ = 6064128.

The previous prime is 21478117. The next prime is 21478147. The reversal of 21478128 is 82187412.

It is a happy number.

It is a super-2 number, since 2×214781282 = 922619964768768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 32263 + ... + 32921.

It is an arithmetic number, because the mean of its divisors is an integer number (802032).

Almost surely, 221478128 is an apocalyptic number.

21478128 is a gapful number since it is divisible by the number (28) 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 21478128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32081280).

21478128 is an abundant number, since it is smaller than the sum of its proper divisors (42684432).

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

21478128 is a wasteful number, since it uses less digits than its factorization.

21478128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 21478128 is about 4634.4501291955. The cubic root of 21478128 is about 277.9705643143.

The spelling of 21478128 in words is "twenty-one million, four hundred seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 659 679 776 1164 1318 1358 1552 1977 2037 2328 2636 2716 3954 4074 4613 4656 5272 5432 7908 8148 9226 10544 10864 13839 15816 16296 18452 27678 31632 32592 36904 55356 63923 73808 110712 127846 191769 221424 255692 383538 447461 511384 767076 894922 1022768 1342383 1534152 1789844 2684766 3068304 3579688 5369532 7159376 10739064 21478128