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1069900416 = 273213199359
BaseRepresentation
bin111111110001010…
…110001010000000
32202120012120110100
4333301112022000
54142343303131
6254055402400
735341001124
oct7761261200
92676176410
101069900416
114a9a27022
1225a383400
13140872590
14a2145584
1563ddc7e6
hex3fc56280

1069900416 has 192 divisors, whose sum is σ = 3341520000. Its totient is φ = 326633472.

The previous prime is 1069900409. The next prime is 1069900439. The reversal of 1069900416 is 6140099601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10699004162 = 2289373800313946112, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2980045 + ... + 2980403.

It is an arithmetic number, because the mean of its divisors is an integer number (17403750).

Almost surely, 21069900416 is an apocalyptic number.

1069900416 is a gapful number since it is divisible by the number (16) 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 1069900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760000).

1069900416 is an abundant number, since it is smaller than the sum of its proper divisors (2271619584).

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

1069900416 is a wasteful number, since it uses less digits than its factorization.

1069900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1069900416 is about 32709.3322463177. The cubic root of 1069900416 is about 1022.7773901237. Note that the first 3 decimals are identical.

The spelling of 1069900416 in words is "one billion, sixty-nine million, nine hundred thousand, four hundred sixteen".