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10400442 = 2313472837
BaseRepresentation
bin100111101011…
…001010111010
3201120101201120
4213223022322
510130303232
61010530110
7154254663
oct47531272
921511646
1010400442
115964008
123596936
132201c10
14154a36a
15da692c
hex9eb2ba

10400442 has 32 divisors (see below), whose sum is σ = 22885632. Its totient is φ = 3130944.

The previous prime is 10400431. The next prime is 10400443. The reversal of 10400442 is 24400401.

It is not an unprimeable number, because it can be changed into a prime (10400443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2248 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (715176).

Almost surely, 210400442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442816).

10400442 is an abundant number, since it is smaller than the sum of its proper divisors (12485190).

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

10400442 is a wasteful number, since it uses less digits than its factorization.

10400442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902.

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

The square root of 10400442 is about 3224.9716277822. The cubic root of 10400442 is about 218.2816688483.

Adding to 10400442 its reverse (24400401), we get a palindrome (34800843).

The spelling of 10400442 in words is "ten million, four hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 1222 1833 2837 3666 5674 8511 17022 36881 73762 110643 133339 221286 266678 400017 800034 1733407 3466814 5200221 10400442