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3520071680 = 21151773277
BaseRepresentation
bin1101000111010000…
…0000100000000000
3100002022122011120012
43101310000200000
524202114243210
61341143204052
7153142054436
oct32164004000
910068564505
103520071680
111546a96a54
12822a46628
13441376568
14255704d56
15159074305
hexd1d00800

3520071680 has 192 divisors, whose sum is σ = 9098172720. Its totient is φ = 1302331392.

The previous prime is 3520071677. The next prime is 3520071733. The reversal of 3520071680 is 861700253.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1521624064 + 1998447616 = 39008^2 + 44704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12707702 + ... + 12707978.

Almost surely, 23520071680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3520071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549086360).

3520071680 is an abundant number, since it is smaller than the sum of its proper divisors (5578101040).

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

3520071680 is a wasteful number, since it uses less digits than its factorization.

3520071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 3520071680 is about 59330.1919767668. The cubic root of 3520071680 is about 1521.1913098266.

The spelling of 3520071680 in words is "three billion, five hundred twenty million, seventy-one thousand, six hundred eighty".