Search a number
-
+
25797030 = 2357323109
BaseRepresentation
bin110001001101…
…0000110100110
31210112121212120
41202122012212
523101001110
62320530410
7432162000
oct142320646
953477776
1025797030
111361a766
128780a06
135462c1c
1435d7370
1523e8870
hex189a1a6

25797030 has 128 divisors (see below), whose sum is σ = 76032000. Its totient is φ = 5588352.

The previous prime is 25797019. The next prime is 25797043. The reversal of 25797030 is 3079752.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 25796982 and 25797000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236616 + ... + 236724.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 225797030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25797030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016000).

25797030 is an abundant number, since it is smaller than the sum of its proper divisors (50234970).

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

25797030 is a wasteful number, since it uses less digits than its factorization.

25797030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 25797030 is about 5079.0776721763. The cubic root of 25797030 is about 295.4766974390.

The spelling of 25797030 in words is "twenty-five million, seven hundred ninety-seven thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 109 115 138 147 161 210 218 230 245 294 322 327 343 345 483 490 545 654 686 690 735 763 805 966 1029 1090 1127 1470 1526 1610 1635 1715 2058 2254 2289 2415 2507 3270 3381 3430 3815 4578 4830 5014 5145 5341 5635 6762 7521 7630 7889 10290 10682 11270 11445 12535 15042 15778 16023 16905 17549 22890 23667 25070 26705 32046 33810 35098 37387 37605 39445 47334 52647 53410 74774 75210 78890 80115 87745 105294 112161 118335 122843 160230 175490 186935 224322 236670 245686 263235 368529 373870 526470 560805 614215 737058 859901 1121610 1228430 1719802 1842645 2579703 3685290 4299505 5159406 8599010 12898515 25797030