Search a number
-
+
10424778 = 2371361313
BaseRepresentation
bin100111110001…
…000111001010
3201121122002220
4213301013022
510132043103
61011234510
7154415640
oct47610712
921548086
1010424778
115980321
1235a8a36
132210010
141555190
15dadc53
hex9f11ca

10424778 has 64 divisors (see below), whose sum is σ = 26164992. Its totient is φ = 2695680.

The previous prime is 10424753. The next prime is 10424779. The reversal of 10424778 is 87742401.

10424778 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10424779) 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, 33150 + ... + 33462.

It is an arithmetic number, because the mean of its divisors is an integer number (408828).

Almost surely, 210424778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082496).

10424778 is an abundant number, since it is smaller than the sum of its proper divisors (15740214).

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

10424778 is a wasteful number, since it uses less digits than its factorization.

10424778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399.

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 10424778 is about 3228.7424796660. The cubic root of 10424778 is about 218.4517886953.

The spelling of 10424778 in words is "ten million, four hundred twenty-four thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 182 183 273 313 366 427 546 626 793 854 939 1281 1586 1878 2191 2379 2562 4069 4382 4758 5551 6573 8138 11102 12207 13146 16653 19093 24414 28483 33306 38186 56966 57279 85449 114558 133651 170898 248209 267302 400953 496418 744627 801906 1489254 1737463 3474926 5212389 10424778