Search a number
-
+
1676381696 = 29111717509
BaseRepresentation
bin110001111101011…
…1000111000000000
311022211102000100222
41203322320320000
511413123203241
6434202402212
756354003123
oct14372707000
94284360328
101676381696
11790301420
123a9500368
132093ca242
1411c8d83ba
159c28aa4b
hex63eb8e00

1676381696 has 80 divisors (see below), whose sum is σ = 3869149680. Its totient is φ = 717127680.

The previous prime is 1676381683. The next prime is 1676381701. The reversal of 1676381696 is 6961836761.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86990 + ... + 104498.

It is an arithmetic number, because the mean of its divisors is an integer number (48364371).

Almost surely, 21676381696 is an apocalyptic number.

1676381696 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 1676381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934574840).

1676381696 is an abundant number, since it is smaller than the sum of its proper divisors (2192767984).

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

1676381696 is a wasteful number, since it uses less digits than its factorization.

1676381696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17555 (or 17539 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 1676381696 is about 40943.6404829859. The cubic root of 1676381696 is about 1187.9303280419.

The spelling of 1676381696 in words is "one billion, six hundred seventy-six million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1088 1408 1496 2176 2816 2992 4352 5632 5984 8704 11968 17509 23936 35018 47872 70036 95744 140072 192599 280144 297653 385198 560288 595306 770396 1120576 1190612 1540792 2241152 2381224 3081584 3274183 4482304 4762448 6163168 6548366 8964608 9524896 12326336 13096732 19049792 24652672 26193464 38099584 49305344 52386928 76199168 98610688 104773856 152398336 209547712 419095424 838190848 1676381696