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242420010 = 23572115471
BaseRepresentation
bin11100111001100…
…00100100101010
3121220011012201220
432130300210222
5444024420020
640015522510
76002351610
oct1634604452
9556135656
10242420010
11114926818
1269229436
133b2ba4c1
14242a56b0
1516438240
hexe73092a

242420010 has 64 divisors (see below), whose sum is σ = 668196864. Its totient is φ = 55137600.

The previous prime is 242419981. The next prime is 242420011. The reversal of 242420010 is 10024242.

It is a super-2 number, since 2×2424200102 = 117534922496800200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (242420011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41575 + ... + 47045.

It is an arithmetic number, because the mean of its divisors is an integer number (10440576).

Almost surely, 2242420010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242420010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334098432).

242420010 is an abundant number, since it is smaller than the sum of its proper divisors (425776854).

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

242420010 is a wasteful number, since it uses less digits than its factorization.

242420010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699.

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

The square root of 242420010 is about 15569.8429664528. The cubic root of 242420010 is about 623.5282790467.

Adding to 242420010 its reverse (10024242), we get a palindrome (252444252).

The spelling of 242420010 in words is "two hundred forty-two million, four hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 422 633 1055 1266 1477 2110 2954 3165 4431 5471 6330 7385 8862 10942 14770 16413 22155 27355 32826 38297 44310 54710 76594 82065 114891 164130 191485 229782 382970 574455 1148910 1154381 2308762 3463143 5771905 6926286 8080667 11543810 16161334 17315715 24242001 34631430 40403335 48484002 80806670 121210005 242420010