Search a number
-
+
1405242 = 23353491
BaseRepresentation
bin101010111000100111010
32122101122000
411113010322
5324431432
650041430
714641626
oct5270472
92571560
101405242
1187a863
12579276
133a2807
14288186
151cb57c
hex15713a

1405242 has 32 divisors (see below), whose sum is σ = 3188160. Its totient is φ = 458640.

The previous prime is 1405241. The next prime is 1405247. The reversal of 1405242 is 2425041.

1405242 is a `hidden beast` number, since 140 + 524 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1405241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2617 + ... + 3107.

It is an arithmetic number, because the mean of its divisors is an integer number (99630).

21405242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594080).

1405242 is an abundant number, since it is smaller than the sum of its proper divisors (1782918).

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

1405242 is a wasteful number, since it uses less digits than its factorization.

1405242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

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

The square root of 1405242 is about 1185.4290362565. The cubic root of 1405242 is about 112.0083433410.

The spelling of 1405242 in words is "one million, four hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 491 954 982 1431 1473 2862 2946 4419 8838 13257 26023 26514 52046 78069 156138 234207 468414 702621 1405242