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1019399040 = 273351131173
BaseRepresentation
bin111100110000101…
…100101110000000
32122001011211121000
4330300230232000
54041431232130
6245053132000
734155514602
oct7460545600
92561154530
101019399040
11483473650
1224548a000
1313326cbca
149955b172
155e764260
hex3cc2cb80

1019399040 has 512 divisors, whose sum is σ = 4089139200. Its totient is φ = 237772800.

The previous prime is 1019399021. The next prime is 1019399041. The reversal of 1019399040 is 409939101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1019398986 and 1019399004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019399041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5892394 + ... + 5892566.

It is an arithmetic number, because the mean of its divisors is an integer number (7986600).

Almost surely, 21019399040 is an apocalyptic number.

1019399040 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 1019399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044569600).

1019399040 is an abundant number, since it is smaller than the sum of its proper divisors (3069740160).

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

1019399040 is a wasteful number, since it uses less digits than its factorization.

1019399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1019399040 is about 31928.0290653839. The cubic root of 1019399040 is about 1006.4249779170.

The spelling of 1019399040 in words is "one billion, nineteen million, three hundred ninety-nine thousand, forty".