Search a number
-
+
10421310 = 2351947389
BaseRepresentation
bin100111110000…
…010000111110
3201121110100110
4213300100332
510131440220
61011210450
7154402554
oct47602076
921543313
1010421310
115978759
1235a6a26
13220b573
141553bd4
15dacbe0
hex9f043e

10421310 has 64 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 2570112.

The previous prime is 10421297. The next prime is 10421311. The reversal of 10421310 is 1312401.

It is a happy number.

10421310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104213102 = 217207404232200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26596 + ... + 26984.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 210421310 is an apocalyptic number.

10421310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10421310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

10421310 is an abundant number, since it is smaller than the sum of its proper divisors (16535490).

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

10421310 is a wasteful number, since it uses less digits than its factorization.

10421310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10421310 is about 3228.2053838007. The cubic root of 10421310 is about 218.4275619659.

Adding to 10421310 its reverse (1312401), we get a palindrome (11733711).

It can be divided in two parts, 10421 and 310, that added together give a triangular number (10731 = T146).

The spelling of 10421310 in words is "ten million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 47 57 94 95 114 141 190 235 282 285 389 470 570 705 778 893 1167 1410 1786 1945 2334 2679 3890 4465 5358 5835 7391 8930 11670 13395 14782 18283 22173 26790 36566 36955 44346 54849 73910 91415 109698 110865 182830 221730 274245 347377 548490 694754 1042131 1736885 2084262 3473770 5210655 10421310