Search a number
-
+
1003922028 = 2232227122849
BaseRepresentation
bin111011110101101…
…010001001101100
32120222001112010100
4323311222021230
54024001001103
6243341311100
733610124244
oct7365521154
92528045110
101003922028
1147576252a
12240265490
1312ccb1405
149748cb24
155d2085a3
hex3bd6a26c

1003922028 has 36 divisors (see below), whose sum is σ = 2548891800. Its totient is φ = 333163776.

The previous prime is 1003922027. The next prime is 1003922069. The reversal of 1003922028 is 8202293001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1003921992 and 1003922010.

It is not an unprimeable number, because it can be changed into a prime (1003922027) 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 11 ways as a sum of consecutive naturals, for example, 53253 + ... + 69596.

It is an arithmetic number, because the mean of its divisors is an integer number (70802550).

Almost surely, 21003922028 is an apocalyptic number.

1003922028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1003922028 is an abundant number, since it is smaller than the sum of its proper divisors (1544969772).

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

1003922028 is a wasteful number, since it uses less digits than its factorization.

1003922028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123086 (or 123081 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1003922028 is about 31684.7286243704. The cubic root of 1003922028 is about 1001.3056372362.

The spelling of 1003922028 in words is "one billion, three million, nine hundred twenty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 227 454 681 908 1362 2043 2724 4086 8172 122849 245698 368547 491396 737094 1105641 1474188 2211282 4422564 27886723 55773446 83660169 111546892 167320338 250980507 334640676 501961014 1003922028