Search a number
-
+
1676064 = 253131779
BaseRepresentation
bin110011001001100100000
310011011010110
412121030200
5412113224
655531320
720150325
oct6311440
93134113
101676064
11a45285
12689b40
13468b70
14318b4c
15231929
hex199320

1676064 has 96 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 479232.

The previous prime is 1676053. The next prime is 1676069. The reversal of 1676064 is 4606761.

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

It is not an unprimeable number, because it can be changed into a prime (1676069) 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, 21177 + ... + 21255.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

21676064 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 1676064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1676064 is an abundant number, since it is smaller than the sum of its proper divisors (3404256).

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

1676064 is a wasteful number, since it uses less digits than its factorization.

1676064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1676064 is about 1294.6289043583. The cubic root of 1676064 is about 118.7855280584.

The spelling of 1676064 in words is "one million, six hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 79 96 102 104 136 156 158 204 208 221 237 272 312 316 408 416 442 474 544 624 632 663 816 884 948 1027 1248 1264 1326 1343 1632 1768 1896 2054 2528 2652 2686 3081 3536 3792 4029 4108 5304 5372 6162 7072 7584 8058 8216 10608 10744 12324 16116 16432 17459 21216 21488 24648 32232 32864 34918 42976 49296 52377 64464 69836 98592 104754 128928 139672 209508 279344 419016 558688 838032 1676064