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1000835680 = 25513481171
BaseRepresentation
bin111011101001111…
…000101001100000
32120202020201110011
4323221320221200
54022203220210
6243151214304
733541651165
oct7351705140
92522221404
101000835680
11473a44729
1223b217394
1312c470680
1496cc806c
155cce8d8a
hex3ba78a60

1000835680 has 48 divisors (see below), whose sum is σ = 2546362224. Its totient is φ = 369538560.

The previous prime is 1000835669. The next prime is 1000835687. The reversal of 1000835680 is 865380001.

1000835680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10008356802 = 2003344116722124800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000835687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238506 + ... + 242665.

It is an arithmetic number, because the mean of its divisors is an integer number (53049213).

Almost surely, 21000835680 is an apocalyptic number.

1000835680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000835680 is an abundant number, since it is smaller than the sum of its proper divisors (1545526544).

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

1000835680 is a wasteful number, since it uses less digits than its factorization.

1000835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481199 (or 481191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1000835680 is about 31635.9871032974. The cubic root of 1000835680 is about 1000.2784824403.

The spelling of 1000835680 in words is "one billion, eight hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 481171 962342 1924684 2405855 3849368 4811710 6255223 7698736 9623420 12510446 15397472 19246840 25020892 31276115 38493680 50041784 62552230 76987360 100083568 125104460 200167136 250208920 500417840 1000835680