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1002006640 = 245431631787
BaseRepresentation
bin111011101110010…
…110100001110000
32120211110012201001
4323232112201300
54023003203030
6243232251344
733554626105
oct7356264160
92524405631
101002006640
11474674468
1223b6a0b54
1312c79064b
1497110aac
155ce7acca
hex3bb96870

1002006640 has 80 divisors (see below), whose sum is σ = 2399810688. Its totient is φ = 388862208.

The previous prime is 1002006623. The next prime is 1002006653. The reversal of 1002006640 is 466002001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559827 + ... + 561613.

Almost surely, 21002006640 is an apocalyptic number.

1002006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199905344).

1002006640 is an abundant number, since it is smaller than the sum of its proper divisors (1397804048).

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

1002006640 is a wasteful number, since it uses less digits than its factorization.

1002006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1002006640 is about 31654.4884653030. The cubic root of 1002006640 is about 1000.6684330976.

Adding to 1002006640 its reverse (466002001), we get a palindrome (1468008641).

The spelling of 1002006640 in words is "one billion, two million, six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 163 172 215 326 344 430 652 688 815 860 1304 1630 1720 1787 2608 3260 3440 3574 6520 7009 7148 8935 13040 14018 14296 17870 28036 28592 35045 35740 56072 70090 71480 76841 112144 140180 142960 153682 280360 291281 307364 384205 560720 582562 614728 768410 1165124 1229456 1456405 1536820 2330248 2912810 3073640 4660496 5825620 6147280 11651240 12525083 23302480 25050166 50100332 62625415 100200664 125250830 200401328 250501660 501003320 1002006640