| Base | Representation |
|---|---|
| bin | 101000110001… |
| … | …1001010000000 |
| 3 | 1111020002122100 |
| 4 | 1101203022000 |
| 5 | 20433041124 |
| 6 | 2042110400 |
| 7 | 346464360 |
| oct | 121431200 |
| 9 | 44202570 |
| 10 | 21377664 |
| 11 | 110813a0 |
| 12 | 71ab400 |
| 13 | 4576509 |
| 14 | 2ba69a0 |
| 15 | 1d241c9 |
| hex | 1463280 |
21377664 has 192 divisors, whose sum is σ = 77014080. Its totient is φ = 5529600.
The previous prime is 21377663. The next prime is 21377677. The reversal of 21377664 is 46677312.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (21377663) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88584 + ... + 88824.
It is an arithmetic number, because the mean of its divisors is an integer number (401115).
Almost surely, 221377664 is an apocalyptic number.
21377664 is a gapful number since it is divisible by the number (24) 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 21377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38507040).
21377664 is an abundant number, since it is smaller than the sum of its proper divisors (55636416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21377664 is a wasteful number, since it uses less digits than its factorization.
21377664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 279 (or 264 counting only the distinct ones).
The product of its digits is 42336, while the sum is 36.
The square root of 21377664 is about 4623.5985984945. The cubic root of 21377664 is about 277.5364841244.
It can be divided in two parts, 2137 and 7664, that added together give a square (9801 = 992).
The spelling of 21377664 in words is "twenty-one million, three hundred seventy-seven thousand, six hundred sixty-four".
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