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1048675680 = 253351371263
BaseRepresentation
bin111110100000011…
…000010101100000
32201002021020121000
4332200120111200
54121430110210
6252020432000
734662411333
oct7640302540
92632236530
101048675680
11498a4a618
12253248600
13139350870
149d3bc61a
15620e8ac0
hex3e818560

1048675680 has 384 divisors, whose sum is σ = 4023613440. Its totient is φ = 253532160.

The previous prime is 1048675643. The next prime is 1048675687. The reversal of 1048675680 is 865768401.

It is a happy number.

1048675680 is a `hidden beast` number, since 1 + 0 + 4 + 86 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048675687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3987229 + ... + 3987491.

It is an arithmetic number, because the mean of its divisors is an integer number (10478160).

Almost surely, 21048675680 is an apocalyptic number.

1048675680 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 1048675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011806720).

1048675680 is an abundant number, since it is smaller than the sum of its proper divisors (2974937760).

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

1048675680 is a wasteful number, since it uses less digits than its factorization.

1048675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1048675680 is about 32383.2623433773. The cubic root of 1048675680 is about 1015.9688646503.

The spelling of 1048675680 in words is "one billion, forty-eight million, six hundred seventy-five thousand, six hundred eighty".