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1006431924 = 223616720521
BaseRepresentation
bin111011111111001…
…110111010110100
32121010210001001110
4323333032322310
54030121310144
6243511155020
733640346601
oct7377167264
92533701043
101006431924
11477117223
12241075a70
1313067c964
14979436a8
155d5520b9
hex3bfceeb4

1006431924 has 48 divisors (see below), whose sum is σ = 2422581056. Its totient is φ = 325036800.

The previous prime is 1006431913. The next prime is 1006432001. The reversal of 1006431924 is 4291346001.

It is a junction number, because it is equal to n+sod(n) for n = 1006431891 and 1006431900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38784 + ... + 59304.

Almost surely, 21006431924 is an apocalyptic number.

It is an amenable number.

1006431924 is an abundant number, since it is smaller than the sum of its proper divisors (1416149132).

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

1006431924 is a wasteful number, since it uses less digits than its factorization.

1006431924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20656 (or 20654 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1006431924 is about 31724.3112454786. The cubic root of 1006431924 is about 1002.1393943943.

Adding to 1006431924 its reverse (4291346001), we get a palindrome (5297777925).

The spelling of 1006431924 in words is "one billion, six million, four hundred thirty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 61 67 122 134 183 201 244 268 366 402 732 804 4087 8174 12261 16348 20521 24522 41042 49044 61563 82084 123126 246252 1251781 1374907 2503562 2749814 3755343 4124721 5007124 5499628 7510686 8249442 15021372 16498884 83869327 167738654 251607981 335477308 503215962 1006431924