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3020037696 = 263413411093
BaseRepresentation
bin1011010000000010…
…0001111001000000
321210110201210220000
42310000201321000
522141112201241
61215401520000
7134560616424
oct26400417100
97713653800
103020037696
11130a807025
127034a3000
133918abb70
14209140b84
1512a200eb6
hexb4021e40

3020037696 has 280 divisors, whose sum is σ = 9885160824. Its totient is φ = 905748480.

The previous prime is 3020037649. The next prime is 3020037697. The reversal of 3020037696 is 6967300203.

It can be written as a sum of positive squares in 4 ways, for example, as 181279296 + 2838758400 = 13464^2 + 53280^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3020037696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020037697) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2762526 + ... + 2763618.

Almost surely, 23020037696 is an apocalyptic number.

3020037696 is a gapful number since it is divisible by the number (36) 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 3020037696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942580412).

3020037696 is an abundant number, since it is smaller than the sum of its proper divisors (6865123128).

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

3020037696 is a wasteful number, since it uses less digits than its factorization.

3020037696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3020037696 is about 54954.8696295424. The cubic root of 3020037696 is about 1445.4534874519.

Adding to 3020037696 its reverse (6967300203), we get a palindrome (9987337899).

It can be divided in two parts, 30200 and 37696, that added together give a triangular number (67896 = T368).

The spelling of 3020037696 in words is "three billion, twenty million, thirty-seven thousand, six hundred ninety-six".