Search a number
-
+
10411980 = 2235971789
BaseRepresentation
bin100111101101…
…111111001100
3201120222112220
4213231333030
510131140410
61011055340
7154333425
oct47557714
921528486
1010411980
115971747
1235a1550
132207247
14155064c
15daa070
hex9edfcc

10411980 has 48 divisors (see below), whose sum is σ = 29470560. Its totient is φ = 2746368.

The previous prime is 10411979. The next prime is 10411987. The reversal of 10411980 is 8911401.

It is a self number, because there is not a number n which added to its sum of digits gives 10411980.

It is not an unprimeable number, because it can be changed into a prime (10411987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4926 + ... + 6714.

It is an arithmetic number, because the mean of its divisors is an integer number (613970).

Almost surely, 210411980 is an apocalyptic number.

10411980 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 10411980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735280).

10411980 is an abundant number, since it is smaller than the sum of its proper divisors (19058580).

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

10411980 is a wasteful number, since it uses less digits than its factorization.

10411980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 10411980 is about 3226.7599848765. The cubic root of 10411980 is about 218.3623578271.

The spelling of 10411980 in words is "ten million, four hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1789 1940 2910 3578 5367 5820 7156 8945 10734 17890 21468 26835 35780 53670 107340 173533 347066 520599 694132 867665 1041198 1735330 2082396 2602995 3470660 5205990 10411980