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1008040380 = 223516800673
BaseRepresentation
bin111100000101010…
…111100110111100
32121020210202102220
4330011113212330
54031024243010
6244005445340
733660126144
oct7405274674
92536722386
101008040380
11478015726
12241710850
13130ac3ac9
1497c41924
155d76d970
hex3c1579bc

1008040380 has 24 divisors (see below), whose sum is σ = 2822513232. Its totient is φ = 268810752.

The previous prime is 1008040373. The next prime is 1008040387. The reversal of 1008040380 is 830408001.

It is an interprime number because it is at equal distance from previous prime (1008040373) and next prime (1008040387).

It is a super-2 number, since 2×10080403802 = 2032290815421088800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1008040380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008040387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8400277 + ... + 8400396.

It is an arithmetic number, because the mean of its divisors is an integer number (117604718).

Almost surely, 21008040380 is an apocalyptic number.

1008040380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008040380 is an abundant number, since it is smaller than the sum of its proper divisors (1814472852).

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

1008040380 is a wasteful number, since it uses less digits than its factorization.

1008040380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16800685 (or 16800683 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1008040380 is about 31749.6516516323. The cubic root of 1008040380 is about 1002.6729755027.

Adding to 1008040380 its reverse (830408001), we get a palindrome (1838448381).

The spelling of 1008040380 in words is "one billion, eight million, forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 16800673 33601346 50402019 67202692 84003365 100804038 168006730 201608076 252010095 336013460 504020190 1008040380