Search a number
-
+
10420242 = 237223267
BaseRepresentation
bin100111110000…
…000000010010
3201121101212220
4213300000102
510131421432
61011201510
7154366500
oct47600022
921541786
1010420242
115977978
1235a6296
13220ac31
141553670
15dac72c
hex9f0012

10420242 has 72 divisors (see below), whose sum is σ = 25721136. Its totient is φ = 2805264.

The previous prime is 10420217. The next prime is 10420243. The reversal of 10420242 is 24202401.

It is not an unprimeable number, because it can be changed into a prime (10420243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155493 + ... + 155559.

It is an arithmetic number, because the mean of its divisors is an integer number (357238).

Almost surely, 210420242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860568).

10420242 is an abundant number, since it is smaller than the sum of its proper divisors (15300894).

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

10420242 is a wasteful number, since it uses less digits than its factorization.

10420242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10420242 is about 3228.0399625779. The cubic root of 10420242 is about 218.4201000567.

Adding to 10420242 its reverse (24202401), we get a palindrome (34622643).

The spelling of 10420242 in words is "ten million, four hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 67 69 98 134 138 147 161 201 294 322 402 469 483 529 938 966 1058 1127 1407 1541 1587 2254 2814 3082 3174 3283 3381 3703 4623 6566 6762 7406 9246 9849 10787 11109 19698 21574 22218 25921 32361 35443 51842 64722 70886 75509 77763 106329 151018 155526 212658 226527 248101 453054 496202 744303 1488606 1736707 3473414 5210121 10420242