| Base | Representation |
|---|---|
| bin | 100110111100100… |
| … | …111111111010000 |
| 3 | 1200112112111211200 |
| 4 | 212330213333100 |
| 5 | 2314234123030 |
| 6 | 144501111200 |
| 7 | 22123014636 |
| oct | 4674477720 |
| 9 | 1615474750 |
| 10 | 653426640 |
| 11 | 30592a119 |
| 12 | 1629b8500 |
| 13 | a54b38a9 |
| 14 | 62ad3356 |
| 15 | 3c572d60 |
| hex | 26f27fd0 |
653426640 has 120 divisors (see below), whose sum is σ = 2201008680. Its totient is φ = 173724672.
The previous prime is 653426639. The next prime is 653426687. The reversal of 653426640 is 46624356.
653426640 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 2 + 6 + 640 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 6843456 + 646583184 = 2616^2 + 25428^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 653426595 and 653426604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278914 + ... + 281246.
It is an arithmetic number, because the mean of its divisors is an integer number (18341739).
Almost surely, 2653426640 is an apocalyptic number.
653426640 is a gapful number since it is divisible by the number (60) 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 653426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100504340).
653426640 is an abundant number, since it is smaller than the sum of its proper divisors (1547582040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
653426640 is a wasteful number, since it uses less digits than its factorization.
653426640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2741 (or 2732 counting only the distinct ones).
The product of its (nonzero) digits is 103680, while the sum is 36.
The square root of 653426640 is about 25562.2111719624. The cubic root of 653426640 is about 867.7586380385.
The spelling of 653426640 in words is "six hundred fifty-three million, four hundred twenty-six thousand, six hundred forty".
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