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10420542 = 2331153331
BaseRepresentation
bin100111110000…
…000100111110
3201121102022000
4213300010332
510131424132
61011203130
7154400406
oct47600476
921542260
1010420542
115978120
1235a64a6
13220b102
141553806
15dac87c
hex9f013e

10420542 has 64 divisors (see below), whose sum is σ = 25816320. Its totient is φ = 3088800.

The previous prime is 10420537. The next prime is 10420547. The reversal of 10420542 is 24502401.

10420542 is a `hidden beast` number, since 104 + 20 + 542 = 666.

10420542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10420537) and next prime (10420547).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420547) 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, 31317 + ... + 31647.

It is an arithmetic number, because the mean of its divisors is an integer number (403380).

Almost surely, 210420542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908160).

10420542 is an abundant number, since it is smaller than the sum of its proper divisors (15395778).

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

10420542 is a wasteful number, since it uses less digits than its factorization.

10420542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10420542 is about 3228.0864300697. The cubic root of 10420542 is about 218.4221961501.

Adding to 10420542 its reverse (24502401), we get a palindrome (34922943).

The spelling of 10420542 in words is "ten million, four hundred twenty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 331 477 583 594 662 954 993 1166 1431 1749 1986 2862 2979 3498 3641 5247 5958 7282 8937 10494 10923 15741 17543 17874 21846 31482 32769 35086 52629 65538 98307 105258 157887 192973 196614 315774 385946 473661 578919 947322 1157838 1736757 3473514 5210271 10420542