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21390688 = 251167907
BaseRepresentation
bin101000110011…
…0010101100000
31111020202111201
41101212111200
520434000223
62042250544
7346550344
oct121462540
944222451
1021390688
1111090160
1271b6a54
13457c417
142bab624
151d27ead
hex1466560

21390688 has 48 divisors (see below), whose sum is σ = 46678464. Its totient is φ = 9567360.

The previous prime is 21390673. The next prime is 21390727. The reversal of 21390688 is 88609312.

It is a super-2 number, since 2×213906882 = 915123066226688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23131 + ... + 24037.

It is an arithmetic number, because the mean of its divisors is an integer number (972468).

Almost surely, 221390688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21390688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23339232).

21390688 is an abundant number, since it is smaller than the sum of its proper divisors (25287776).

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

21390688 is a wasteful number, since it uses less digits than its factorization.

21390688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 21390688 is about 4625.0068108058. The cubic root of 21390688 is about 277.5928342377.

The spelling of 21390688 in words is "twenty-one million, three hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 907 1072 1474 1814 2144 2948 3628 5896 7256 9977 11792 14512 19954 23584 29024 39908 60769 79816 121538 159632 243076 319264 486152 668459 972304 1336918 1944608 2673836 5347672 10695344 21390688