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1001000920 = 23582930187
BaseRepresentation
bin111011101010100…
…000111111011000
32120202120010010011
4323222200333120
54022224012140
6243154531304
733543240013
oct7352407730
92522503104
101001000920
11474047897
1223b296b34
1312c4ca94a
1496d2c37a
155cd2ccea
hex3baa0fd8

1001000920 has 32 divisors (see below), whose sum is σ = 2255043600. Its totient is φ = 399904128.

The previous prime is 1001000887. The next prime is 1001000929. The reversal of 1001000920 is 290001001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001000920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000929) 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 7 ways as a sum of consecutive naturals, for example, 18067 + ... + 48253.

Almost surely, 21001000920 is an apocalyptic number.

1001000920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001000920 is an abundant number, since it is smaller than the sum of its proper divisors (1254042680).

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

1001000920 is a wasteful number, since it uses less digits than its factorization.

1001000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31027 (or 31023 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1001000920 is about 31638.5985783189. The cubic root of 1001000920 is about 1000.3335287462. Note that the first 3 decimals are identical.

Adding to 1001000920 its reverse (290001001), we get a palindrome (1291001921).

The spelling of 1001000920 in words is "one billion, one million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 829 1658 3316 4145 6632 8290 16580 30187 33160 60374 120748 150935 241496 301870 603740 1207480 25025023 50050046 100100092 125125115 200200184 250250230 500500460 1001000920