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1000388880 = 24345263587
BaseRepresentation
bin111011101000001…
…011100100010000
32120201102000120000
4323220023210100
54022044421010
6243133450000
733535110441
oct7350134420
92521360500
101000388880
11473769a77
1223b040900
1312c3451aa
1496c0d2c8
155cc5b7c0
hex3ba0b910

1000388880 has 200 divisors, whose sum is σ = 3493651392. Its totient is φ = 265303296.

The previous prime is 1000388819. The next prime is 1000388891. The reversal of 1000388880 is 888830001.

It is a super-2 number, since 2×10003888802 = 2001555822455308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1703947 + ... + 1704533.

Almost surely, 21000388880 is an apocalyptic number.

1000388880 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 1000388880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746825696).

1000388880 is an abundant number, since it is smaller than the sum of its proper divisors (2493262512).

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

1000388880 is a wasteful number, since it uses less digits than its factorization.

1000388880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1000388880 is about 31628.9247367026. The cubic root of 1000388880 is about 1000.1296098672.

The spelling of 1000388880 in words is "one billion, three hundred eighty-eight thousand, eight hundred eighty".