Search a number
-
+
1001057840 = 24543129033
BaseRepresentation
bin111011101010101…
…110111000110000
32120202200000012022
4323222232320300
54022232322330
6243200051012
733543564656
oct7352567060
92522600168
101001057840
11474086632
1223b303a68
1312c51a823
1496d44dd6
155cd3eae5
hex3baaee30

1001057840 has 40 divisors (see below), whose sum is σ = 2332939968. Its totient is φ = 399480320.

The previous prime is 1001057839. The next prime is 1001057857. The reversal of 1001057840 is 487501001.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 19964 + ... + 48996.

Almost surely, 21001057840 is an apocalyptic number.

1001057840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001057840 is an abundant number, since it is smaller than the sum of its proper divisors (1331882128).

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

1001057840 is a wasteful number, since it uses less digits than its factorization.

1001057840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29477 (or 29471 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 1001057840 is about 31639.4980996855. The cubic root of 1001057840 is about 1000.3524890702.

Adding to 1001057840 its reverse (487501001), we get a palindrome (1488558841).

The spelling of 1001057840 in words is "one billion, one million, fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 431 862 1724 2155 3448 4310 6896 8620 17240 29033 34480 58066 116132 145165 232264 290330 464528 580660 1161320 2322640 12513223 25026446 50052892 62566115 100105784 125132230 200211568 250264460 500528920 1001057840