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1000213440 = 26351041889
BaseRepresentation
bin111011100111100…
…000101111000000
32120201002002220020
4323213200233000
54022023312230
6243130013440
733533450112
oct7347405700
92521062806
101000213440
1147365a186
1223ab77280
1312c2b3395
1496ba53b2
155cc24810
hex3b9e0bc0

1000213440 has 56 divisors (see below), whose sum is σ = 3175680720. Its totient is φ = 266723328.

The previous prime is 1000213433. The next prime is 1000213457. The reversal of 1000213440 is 443120001.

1000213440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519985 + ... + 521904.

Almost surely, 21000213440 is an apocalyptic number.

1000213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000213440 is an abundant number, since it is smaller than the sum of its proper divisors (2175467280).

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

1000213440 is a wasteful number, since it uses less digits than its factorization.

1000213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041909 (or 1041899 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1000213440 is about 31626.1512043435. The cubic root of 1000213440 is about 1000.0711416054.

Adding to 1000213440 its reverse (443120001), we get a palindrome (1443333441).

The spelling of 1000213440 in words is "one billion, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1041889 2083778 3125667 4167556 5209445 6251334 8335112 10418890 12502668 15628335 16670224 20837780 25005336 31256670 33340448 41675560 50010672 62513340 66680896 83351120 100021344 125026680 166702240 200042688 250053360 333404480 500106720 1000213440