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1004632420 = 225119194969
BaseRepresentation
bin111011111000010…
…111100101100100
32121000101121121011
4323320113211210
54024141214140
6243404432004
733616143331
oct7370274544
92530347534
101004632420
114760a8230
12240548604
1313019c86c
14975d5988
155d2e8cea
hex3be17964

1004632420 has 48 divisors (see below), whose sum is σ = 2304489600. Its totient is φ = 364849920.

The previous prime is 1004632411. The next prime is 1004632423. The reversal of 1004632420 is 242364001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1004632391 and 1004632400.

It is not an unprimeable number, because it can be changed into a prime (1004632423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 199696 + ... + 204664.

It is an arithmetic number, because the mean of its divisors is an integer number (48010200).

Almost surely, 21004632420 is an apocalyptic number.

1004632420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004632420 is an abundant number, since it is smaller than the sum of its proper divisors (1299857180).

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

1004632420 is a wasteful number, since it uses less digits than its factorization.

1004632420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1004632420 is about 31695.9369635920. The cubic root of 1004632420 is about 1001.5417617491.

Adding to 1004632420 its reverse (242364001), we get a palindrome (1246996421).

The spelling of 1004632420 in words is "one billion, four million, six hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 919 1838 3676 4595 4969 9190 9938 10109 18380 19876 20218 24845 40436 49690 50545 54659 99380 101090 109318 202180 218636 273295 546590 1093180 4566511 9133022 18266044 22832555 45665110 50231621 91330220 100463242 200926484 251158105 502316210 1004632420