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1003716680 = 23529229837
BaseRepresentation
bin111011110100111…
…000000001001000
32120221200002102212
4323310320001020
54023422413210
6243333044252
733605310461
oct7364700110
92527602385
101003716680
1147563221a
12240186688
1312cc3bac5
1497437d68
155d1b7805
hex3bd38048

1003716680 has 48 divisors (see below), whose sum is σ = 2339000820. Its totient is φ = 387629312.

The previous prime is 1003716677. The next prime is 1003716697. The reversal of 1003716680 is 866173001.

It can be written as a sum of positive squares in 6 ways, for example, as 188842564 + 814874116 = 13742^2 + 28546^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18722 + ... + 48558.

Almost surely, 21003716680 is an apocalyptic number.

1003716680 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 1003716680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169500410).

1003716680 is an abundant number, since it is smaller than the sum of its proper divisors (1335284140).

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

1003716680 is a wasteful number, since it uses less digits than its factorization.

1003716680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29906 (or 29873 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1003716680 is about 31681.4879701065. The cubic root of 1003716680 is about 1001.2373616380.

Adding to 1003716680 its reverse (866173001), we get a palindrome (1869889681).

The spelling of 1003716680 in words is "one billion, three million, seven hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 6728 8410 16820 29837 33640 59674 119348 149185 238696 298370 596740 865273 1193480 1730546 3461092 4326365 6922184 8652730 17305460 25092917 34610920 50185834 100371668 125464585 200743336 250929170 501858340 1003716680