Search a number
-
+
10254780 = 22325232477
BaseRepresentation
bin100111000111…
…100110111100
3201021222220200
4213013212330
510111123110
61003443500
7153110214
oct47074674
921258820
1010254780
115874628
123526590
132180823
14150d244
15d786c0
hex9c79bc

10254780 has 72 divisors (see below), whose sum is σ = 32471712. Its totient is φ = 2614656.

The previous prime is 10254779. The next prime is 10254781. The reversal of 10254780 is 8745201.

It is an interprime number because it is at equal distance from previous prime (10254779) and next prime (10254781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2902 + ... + 5378.

It is an arithmetic number, because the mean of its divisors is an integer number (450996).

Almost surely, 210254780 is an apocalyptic number.

10254780 is a gapful number since it is divisible by the number (10) 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 10254780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235856).

10254780 is an abundant number, since it is smaller than the sum of its proper divisors (22216932).

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

10254780 is a wasteful number, since it uses less digits than its factorization.

10254780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10254780 is about 3202.3085422863. The cubic root of 10254780 is about 217.2578359051.

Adding to 10254780 its reverse (8745201), we get a palindrome (18999981).

The spelling of 10254780 in words is "ten million, two hundred fifty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 2477 4140 4954 7431 9908 12385 14862 22293 24770 29724 37155 44586 49540 56971 74310 89172 111465 113942 148620 170913 222930 227884 284855 341826 445860 512739 569710 683652 854565 1025478 1139420 1709130 2050956 2563695 3418260 5127390 10254780