Search a number
-
+
10262413 = 721973151
BaseRepresentation
bin100111001001…
…011110001101
3201022101101101
4213021132031
510111344123
61003543101
7153141400
oct47113615
921271341
1010262413
11587a337
12352aa91
132184145
141511d37
15d7aaad
hex9c978d

10262413 has 24 divisors (see below), whose sum is σ = 12822720. Its totient is φ = 8164800.

The previous prime is 10262387. The next prime is 10262437. The reversal of 10262413 is 31426201.

It is not a de Polignac number, because 10262413 - 25 = 10262381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is the 3204-th Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10262453) by changing a digit.

It is a nontrivial repunit in base 3203.

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 23 ways as a sum of consecutive naturals, for example, 67888 + ... + 68038.

It is an arithmetic number, because the mean of its divisors is an integer number (534280).

Almost surely, 210262413 is an apocalyptic number.

It is an amenable number.

10262413 is a deficient number, since it is larger than the sum of its proper divisors (2560307).

10262413 is a wasteful number, since it uses less digits than its factorization.

10262413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10262413 is about 3203.5001170595. The cubic root of 10262413 is about 217.3117267989.

Adding to 10262413 its reverse (31426201), we get a palindrome (41688614).

The spelling of 10262413 in words is "ten million, two hundred sixty-two thousand, four hundred thirteen".

Divisors: 1 7 19 49 73 133 151 511 931 1057 1387 2869 3577 7399 9709 11023 20083 67963 77161 140581 209437 540127 1466059 10262413