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1676131680 = 253522715383
BaseRepresentation
bin110001111100111…
…1011110101100000
311022210221022102010
41203321323311200
511413042203210
6434153152520
756351612166
oct14371736540
94283838363
101676131680
117901505a3
123a93bb740
132093404c2
1411c871236
159c23b920
hex63e7bd60

1676131680 has 96 divisors (see below), whose sum is σ = 5303418624. Its totient is φ = 444970496.

The previous prime is 1676131679. The next prime is 1676131687. The reversal of 1676131680 is 861316761.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1676131687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101269 + ... + 116651.

It is an arithmetic number, because the mean of its divisors is an integer number (55243944).

Almost surely, 21676131680 is an apocalyptic number.

1676131680 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 1676131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651709312).

1676131680 is an abundant number, since it is smaller than the sum of its proper divisors (3627286944).

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

1676131680 is a wasteful number, since it uses less digits than its factorization.

1676131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15628 (or 15620 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1676131680 is about 40940.5871965706. The cubic root of 1676131680 is about 1187.8712690270.

The spelling of 1676131680 in words is "one billion, six hundred seventy-six million, one hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 227 240 454 480 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 7264 9080 10896 13620 15383 18160 21792 27240 30766 36320 46149 54480 61532 76915 92298 108960 123064 153830 184596 230745 246128 307660 369192 461490 492256 615320 738384 922980 1230640 1476768 1845960 2461280 3491941 3691920 6983882 7383840 10475823 13967764 17459705 20951646 27935528 34919410 41903292 52379115 55871056 69838820 83806584 104758230 111742112 139677640 167613168 209516460 279355280 335226336 419032920 558710560 838065840 1676131680