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11241000246 = 2374720032843
BaseRepresentation
bin10100111100000010…
…00000110100110110
31002000101220222102110
422132001000310312
5141010144001441
65055233351450
7545363632320
oct123601006466
932011828373
1011241000246
114849284953
122218708586
1310a1b38848
14788cc6610
1545bce6b16
hex29e040d36

11241000246 has 64 divisors (see below), whose sum is σ = 26262724608. Its totient is φ = 3140705568.

The previous prime is 11241000233. The next prime is 11241000247. The reversal of 11241000246 is 64200014211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241000247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3952501 + ... + 3955343.

It is an arithmetic number, because the mean of its divisors is an integer number (410355072).

Almost surely, 211241000246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241000246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131362304).

11241000246 is an abundant number, since it is smaller than the sum of its proper divisors (15021724362).

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

11241000246 is a wasteful number, since it uses less digits than its factorization.

11241000246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11241000246 its reverse (64200014211), we get a palindrome (75441014457).

The spelling of 11241000246 in words is "eleven billion, two hundred forty-one million, two hundred forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1974 2003 2843 4006 5686 6009 8529 12018 14021 17058 19901 28042 39802 42063 59703 84126 94141 119406 133621 188282 267242 282423 400863 564846 658987 801726 935347 1317974 1870694 1976961 2806041 3953922 5612082 5694529 11389058 17083587 34167174 39861703 79723406 119585109 239170218 267642863 535285726 802928589 1605857178 1873500041 3747000082 5620500123 11241000246