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1000743040 = 27511142151
BaseRepresentation
bin111011101001100…
…010000010000000
32120202002000101001
4323221202002000
54022142234130
6243145221344
733541114123
oct7351420200
92522060331
101000743040
11473991070
1223b191854
1312c43a45b
1496ca23ba
155cccb6ca
hex3ba62080

1000743040 has 64 divisors (see below), whose sum is σ = 2609910720. Its totient is φ = 363904000.

The previous prime is 1000743019. The next prime is 1000743059. The reversal of 1000743040 is 403470001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1000742999 and 1000743017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64036 + ... + 78115.

It is an arithmetic number, because the mean of its divisors is an integer number (40779855).

Almost surely, 21000743040 is an apocalyptic number.

1000743040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000743040 is an abundant number, since it is smaller than the sum of its proper divisors (1609167680).

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

1000743040 is a wasteful number, since it uses less digits than its factorization.

1000743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142181 (or 142169 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 1000743040 is about 31634.5229140570. The cubic root of 1000743040 is about 1000.2476186799.

The spelling of 1000743040 in words is "one billion, seven hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 142151 284302 568604 710755 1137208 1421510 1563661 2274416 2843020 3127322 4548832 5686040 6254644 7818305 9097664 11372080 12509288 15636610 18195328 22744160 25018576 31273220 45488320 50037152 62546440 90976640 100074304 125092880 200148608 250185760 500371520 1000743040