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1004120032 = 25471973389
BaseRepresentation
bin111011110110011…
…010011111100000
32120222102120201211
4323312122133200
54024023320112
6243345435504
733611610436
oct7366323740
92528376654
101004120032
11475888273
1224033bb94
13130050586
1497500d56
155d2470a7
hex3bd9a7e0

1004120032 has 48 divisors (see below), whose sum is σ = 2029769280. Its totient is φ = 488739328.

The previous prime is 1004120027. The next prime is 1004120063. The reversal of 1004120032 is 2300214001.

It is a junction number, because it is equal to n+sod(n) for n = 1004119994 and 1004120021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294594 + ... + 297982.

It is an arithmetic number, because the mean of its divisors is an integer number (42286860).

Almost surely, 21004120032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014884640).

1004120032 is an abundant number, since it is smaller than the sum of its proper divisors (1025649248).

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

1004120032 is a wasteful number, since it uses less digits than its factorization.

1004120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1004120032 is about 31687.8530670666. The cubic root of 1004120032 is about 1001.3714622315.

Adding to 1004120032 its reverse (2300214001), we get a palindrome (3304334033).

The spelling of 1004120032 in words is "one billion, four million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 197 376 394 752 788 1504 1576 3152 3389 6304 6778 9259 13556 18518 27112 37036 54224 74072 108448 148144 159283 296288 318566 637132 667633 1274264 1335266 2548528 2670532 5097056 5341064 10682128 21364256 31378751 62757502 125515004 251030008 502060016 1004120032