| Base | Representation |
|---|---|
| bin | 10010110010001101… |
| … | …001110011000010000 |
| 3 | 1221001122210221000000 |
| 4 | 102302031032120100 |
| 5 | 312301414233100 |
| 6 | 13133230130000 |
| 7 | 1312552311642 |
| oct | 226215163020 |
| 9 | 57048727000 |
| 10 | 20169680400 |
| 11 | 8610293461 |
| 12 | 3aaa950900 |
| 13 | 1b958a763c |
| 14 | d94a54892 |
| 15 | 7d0ad6900 |
| hex | 4b234e610 |
20169680400 has 315 divisors, whose sum is σ = 72930548509. Its totient is φ = 5358130560.
The previous prime is 20169680393. The next prime is 20169680431. The reversal of 20169680400 is 408696102.
The square root of 20169680400 is 142020.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 7261084944 + 12908595456 = 85212^2 + 113616^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 76690669 + ... + 76690931.
Almost surely, 220169680400 is an apocalyptic number.
20169680400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
20169680400 is the 142020-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20169680400
20169680400 is an abundant number, since it is smaller than the sum of its proper divisors (52760868109).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20169680400 is an frugal number, since it uses more digits than its factorization.
20169680400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 562 (or 273 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
Multiplying 20169680400 by its sum of digits (36), we get a square (726108494400 = 8521202).
20169680400 divided by its sum of digits (36) gives a square (560268900 = 236702).
Multiplying 20169680400 by its product of nonzero digits (20736), we get a square (418238492774400 = 204508802).
It can be divided in two parts, 20169 and 680400, that added together give a square (700569 = 8372).
The spelling of 20169680400 in words is "twenty billion, one hundred sixty-nine million, six hundred eighty thousand, four hundred".
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