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1232004042 = 2321719297307
BaseRepresentation
bin100100101101110…
…1110001111001010
310011212020021211100
41021123232033022
510010343112132
6322130042230
742346601343
oct11133561712
93155207740
101232004042
11582485965
122a4719376
1316831b699
14b98a10ca
157325d37c
hex496ee3ca

1232004042 has 96 divisors (see below), whose sum is σ = 3078129600. Its totient is φ = 353493504.

The previous prime is 1232004029. The next prime is 1232004073. The reversal of 1232004042 is 2404002321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164953 + ... + 172259.

It is an arithmetic number, because the mean of its divisors is an integer number (32063850).

Almost surely, 21232004042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232004042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539064800).

1232004042 is an abundant number, since it is smaller than the sum of its proper divisors (1846125558).

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

1232004042 is a wasteful number, since it uses less digits than its factorization.

1232004042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7380 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1232004042 is about 35099.9151281025. The cubic root of 1232004042 is about 1072.0228545705.

Adding to 1232004042 its reverse (2404002321), we get a palindrome (3636006363).

The spelling of 1232004042 in words is "one billion, two hundred thirty-two million, four thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 19 29 34 38 51 57 58 87 102 114 153 171 174 261 306 323 342 493 522 551 646 969 986 1102 1479 1653 1938 2907 2958 3306 4437 4959 5814 7307 8874 9367 9918 14614 18734 21921 28101 43842 56202 65763 84303 124219 131526 138833 168606 211903 248438 277666 372657 416499 423806 635709 745314 832998 1117971 1249497 1271418 1907127 2235942 2360161 2498994 3602351 3814254 4026157 4720322 7080483 7204702 8052314 10807053 12078471 14160966 21241449 21614106 24156942 32421159 36235413 42482898 64842318 68444669 72470826 136889338 205334007 410668014 616002021 1232004042