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1000403480 = 235311674831
BaseRepresentation
bin111011101000001…
…111001000011000
32120201102202120202
4323220033020120
54022100402410
6243134041332
733535201136
oct7350171030
92521382522
101000403480
11473779a3a
1223b049248
1312c34ba2b
1496c14756
155cc60ca5
hex3ba0f218

1000403480 has 64 divisors (see below), whose sum is σ = 2337914880. Its totient is φ = 384854400.

The previous prime is 1000403431. The next prime is 1000403483. The reversal of 1000403480 is 843040001.

It is a super-2 number, since 2×10004034802 = 2001614245592220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000403483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204665 + ... + 209495.

It is an arithmetic number, because the mean of its divisors is an integer number (36529920).

Almost surely, 21000403480 is an apocalyptic number.

1000403480 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 1000403480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168957440).

1000403480 is an abundant number, since it is smaller than the sum of its proper divisors (1337511400).

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

1000403480 is a wasteful number, since it uses less digits than its factorization.

1000403480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1000403480 is about 31629.1555372571. The cubic root of 1000403480 is about 1000.1344752489.

Adding to 1000403480 its reverse (843040001), we get a palindrome (1843443481).

The spelling of 1000403480 in words is "one billion, four hundred three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 167 248 310 334 620 668 835 1240 1336 1670 3340 4831 5177 6680 9662 10354 19324 20708 24155 25885 38648 41416 48310 51770 96620 103540 149761 193240 207080 299522 599044 748805 806777 1198088 1497610 1613554 2995220 3227108 4033885 5990440 6454216 8067770 16135540 25010087 32271080 50020174 100040348 125050435 200080696 250100870 500201740 1000403480