Search a number
-
+
1000241000 = 23531190931
BaseRepresentation
bin111011100111100…
…111011101101000
32120201010111200222
4323213213131220
54022030203000
6243130345212
733533623343
oct7347473550
92521114628
101000241000
11473678960
1223ab8b208
1312c2c2aa5
1496bb145a
155cc2ca85
hex3b9e7768

1000241000 has 64 divisors (see below), whose sum is σ = 2553370560. Its totient is φ = 363720000.

The previous prime is 1000240991. The next prime is 1000241027. The reversal of 1000241000 is 1420001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34466 + ... + 56465.

It is an arithmetic number, because the mean of its divisors is an integer number (39896415).

Almost surely, 21000241000 is an apocalyptic number.

1000241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000241000 is an abundant number, since it is smaller than the sum of its proper divisors (1553129560).

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

1000241000 is a wasteful number, since it uses less digits than its factorization.

1000241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90963 (or 90949 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1000241000 is about 31626.5869167066. The cubic root of 1000241000 is about 1000.0803268808.

Adding to 1000241000 its reverse (1420001), we get a palindrome (1001661001).

The spelling of 1000241000 in words is "one billion, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 90931 181862 363724 454655 727448 909310 1000241 1818620 2000482 2273275 3637240 4000964 4546550 5001205 8001928 9093100 10002410 11366375 18186200 20004820 22732750 25006025 40009640 45465500 50012050 90931000 100024100 125030125 200048200 250060250 500120500 1000241000