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1001240046 = 232313475171
BaseRepresentation
bin111011101011011…
…011010111101110
32120210000021010200
4323223123113232
54022304140141
6243204014330
733545254122
oct7353332756
92523007120
101001240046
114741a0514
1223b3913a6
1312c582741
1496d91582
155cd78ab6
hex3badb5ee

1001240046 has 48 divisors (see below), whose sum is σ = 2246220288. Its totient is φ = 321987600.

The previous prime is 1001240033. The next prime is 1001240047. The reversal of 1001240046 is 6400421001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001240047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191041 + ... + 196211.

It is an arithmetic number, because the mean of its divisors is an integer number (46796256).

Almost surely, 21001240046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001240046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123110144).

1001240046 is an abundant number, since it is smaller than the sum of its proper divisors (1244980242).

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

1001240046 is a wasteful number, since it uses less digits than its factorization.

1001240046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1001240046 is about 31642.3773759179. The cubic root of 1001240046 is about 1000.4131779272.

Adding to 1001240046 its reverse (6400421001), we get a palindrome (7401661047).

The spelling of 1001240046 in words is "one billion, one million, two hundred forty thousand, forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 347 558 694 1041 2082 3123 5171 6246 10342 10757 15513 21514 31026 32271 46539 64542 93078 96813 160301 193626 320602 480903 961806 1442709 1794337 2885418 3588674 5383011 10766022 16149033 32298066 55624447 111248894 166873341 333746682 500620023 1001240046