Search a number
-
+
25107030 = 23351323311
BaseRepresentation
bin101111111000…
…1101001010110
31202020120101000
41133301221112
522411411110
62254044130
7423256224
oct137615126
952216330
1025107030
1113199313
1284a9646
135280b40
143497b14
15230e1c0
hex17f1a56

25107030 has 128 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 5892480.

The previous prime is 25107029. The next prime is 25107041. The reversal of 25107030 is 3070152.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 25106994 and 25107012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80575 + ... + 80885.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 225107030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25107030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

25107030 is an abundant number, since it is smaller than the sum of its proper divisors (50372010).

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

25107030 is a wasteful number, since it uses less digits than its factorization.

25107030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 25107030 is about 5010.6915690352. The cubic root of 25107030 is about 292.8184565764.

Adding to 25107030 its reverse (3070152), we get a palindrome (28177182).

The spelling of 25107030 in words is "twenty-five million, one hundred seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 27 30 39 45 46 54 65 69 78 90 115 117 130 135 138 195 207 230 234 270 299 311 345 351 390 414 585 598 621 622 690 702 897 933 1035 1170 1242 1495 1555 1755 1794 1866 2070 2691 2799 2990 3105 3110 3510 4043 4485 4665 5382 5598 6210 7153 8073 8086 8397 8970 9330 12129 13455 13995 14306 16146 16794 20215 21459 24258 26910 27990 35765 36387 40365 40430 41985 42918 60645 64377 71530 72774 80730 83970 92989 107295 109161 121290 128754 181935 185978 193131 214590 218322 278967 321885 363870 386262 464945 545805 557934 643770 836901 929890 965655 1091610 1394835 1673802 1931310 2510703 2789670 4184505 5021406 8369010 12553515 25107030