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146143242 = 232723211239
BaseRepresentation
bin10001011010111…
…11100000001010
3101011222211211200
420231133200022
5244403040432
622300205030
73423124410
oct1055374012
9334884750
10146143242
1175548643
1240b39776
132437b5bb
14155a32b0
15cc6ba7c
hex8b5f80a

146143242 has 96 divisors (see below), whose sum is σ = 380989440. Its totient is φ = 39584160.

The previous prime is 146143211. The next prime is 146143253. The reversal of 146143242 is 242341641.

It is a happy number.

146143242 is a `hidden beast` number, since 1 + 4 + 614 + 3 + 2 + 42 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 611359 + ... + 611597.

It is an arithmetic number, because the mean of its divisors is an integer number (3968640).

Almost surely, 2146143242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146143242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190494720).

146143242 is an abundant number, since it is smaller than the sum of its proper divisors (234846198).

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

146143242 is a wasteful number, since it uses less digits than its factorization.

146143242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 146143242 is about 12088.9719165858. The cubic root of 146143242 is about 526.7358921094.

Adding to 146143242 its reverse (242341641), we get a palindrome (388484883).

The spelling of 146143242 in words is "one hundred forty-six million, one hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 211 239 322 414 422 478 483 633 717 966 1266 1434 1449 1477 1673 1899 2151 2898 2954 3346 3798 4302 4431 4853 5019 5497 8862 9706 10038 10994 13293 14559 15057 16491 26586 29118 30114 32982 33971 38479 43677 49473 50429 67942 76958 87354 98946 100858 101913 115437 151287 203826 230874 302574 305739 346311 353003 453861 611478 692622 706006 907722 1059009 1159867 2118018 2319734 3177027 3479601 6354054 6959202 8119069 10438803 16238138 20877606 24357207 48714414 73071621 146143242