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1000912640 = 2857132661
BaseRepresentation
bin111011101010001…
…011011100000000
32120202101122000112
4323222023130000
54022213201030
6243153010452
733542421440
oct7352133400
92522348015
101000912640
11473a97532
1223b253a28
1312c499700
1496d08120
155cd11a95
hex3ba8b700

1000912640 has 216 divisors, whose sum is σ = 2971469088. Its totient is φ = 316293120.

The previous prime is 1000912637. The next prime is 1000912651. The reversal of 1000912640 is 462190001.

It is a happy number.

1000912640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10009126402 = 2003652225823539200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1513910 + ... + 1514570.

Almost surely, 21000912640 is an apocalyptic number.

1000912640 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 1000912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485734544).

1000912640 is an abundant number, since it is smaller than the sum of its proper divisors (1970556448).

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

1000912640 is an equidigital number, since it uses as much as digits as its factorization.

1000912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1000912640 is about 31637.2034162313. The cubic root of 1000912640 is about 1000.3041208345.

The spelling of 1000912640 in words is "one billion, nine hundred twelve thousand, six hundred forty".