Search a number
-
+
25197420 = 22351923312
BaseRepresentation
bin110000000011…
…1101101101100
31202102011100210
41200013231230
522422304140
62300022420
7424113603
oct140075554
952364323
1025197420
1113250216
128531a10
1352b3021
1434bca3a
15232ad80
hex1807b6c

25197420 has 144 divisors (see below), whose sum is σ = 80075520. Its totient is φ = 5892480.

The previous prime is 25197391. The next prime is 25197437. The reversal of 25197420 is 2479152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812805 + ... + 812835.

It is an arithmetic number, because the mean of its divisors is an integer number (556080).

Almost surely, 225197420 is an apocalyptic number.

25197420 is a gapful number since it is divisible by the number (20) 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 25197420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40037760).

25197420 is an abundant number, since it is smaller than the sum of its proper divisors (54878100).

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

25197420 is a wasteful number, since it uses less digits than its factorization.

25197420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 25197420 is about 5019.7031784758. The cubic root of 25197420 is about 293.1694361040.

The spelling of 25197420 in words is "twenty-five million, one hundred ninety-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 31 38 46 57 60 62 69 76 92 93 95 114 115 124 138 155 186 190 228 230 276 285 310 345 372 380 437 460 465 570 589 620 690 713 874 930 961 1140 1178 1311 1380 1426 1748 1767 1860 1922 2139 2185 2356 2622 2852 2883 2945 3534 3565 3844 4278 4370 4805 5244 5766 5890 6555 7068 7130 8556 8740 8835 9610 10695 11532 11780 13110 13547 14260 14415 17670 18259 19220 21390 22103 26220 27094 28830 35340 36518 40641 42780 44206 54188 54777 57660 66309 67735 73036 81282 88412 91295 109554 110515 132618 135470 162564 182590 203205 219108 221030 265236 270940 273885 331545 365180 406410 419957 442060 547770 663090 812820 839914 1095540 1259871 1326180 1679828 2099785 2519742 4199570 5039484 6299355 8399140 12598710 25197420