Search a number
-
+
25023000 = 2335319439
BaseRepresentation
bin101111101110…
…1001000011000
31202002022002210
41133131020120
522401214000
62252155120
7422456232
oct137351030
952068083
1025023000
1113141172
128468aa0
135251812
143475252
1522e4350
hex17dd218

25023000 has 128 divisors (see below), whose sum is σ = 82368000. Its totient is φ = 6307200.

The previous prime is 25022999. The next prime is 25023001. The reversal of 25023000 is 32052.

It is an interprime number because it is at equal distance from previous prime (25022999) and next prime (25023001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25023001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56781 + ... + 57219.

It is an arithmetic number, because the mean of its divisors is an integer number (643500).

Almost surely, 225023000 is an apocalyptic number.

25023000 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 25023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184000).

25023000 is an abundant number, since it is smaller than the sum of its proper divisors (57345000).

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

25023000 is a wasteful number, since it uses less digits than its factorization.

25023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 25023000 is about 5002.2994712432. The cubic root of 25023000 is about 292.4914162139.

Adding to 25023000 its reverse (32052), we get a palindrome (25055052).

The spelling of 25023000 in words is "twenty-five million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 439 456 475 500 570 600 750 760 878 950 1000 1140 1317 1425 1500 1756 1900 2195 2280 2375 2634 2850 3000 3512 3800 4390 4750 5268 5700 6585 7125 8341 8780 9500 10536 10975 11400 13170 14250 16682 17560 19000 21950 25023 26340 28500 32925 33364 41705 43900 50046 52680 54875 57000 65850 66728 83410 87800 100092 109750 125115 131700 164625 166820 200184 208525 219500 250230 263400 329250 333640 417050 439000 500460 625575 658500 834100 1000920 1042625 1251150 1317000 1668200 2085250 2502300 3127875 4170500 5004600 6255750 8341000 12511500 25023000