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674976 = 2537989
BaseRepresentation
bin10100100110010100000
31021021220010
42210302200
5133044401
622244520
75510601
oct2446240
91237803
10674976
11421135
12286740
131a82c3
14137da8
15d4ed6
hexa4ca0

674976 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 219648.

The previous prime is 674957. The next prime is 674977. The reversal of 674976 is 679476.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (674977) by changing a digit.

674976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7540 + ... + 7628.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2674976 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 674976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

674976 is an abundant number, since it is smaller than the sum of its proper divisors (1139424).

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

674976 is a wasteful number, since it uses less digits than its factorization.

674976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 674976 is about 821.5692301930. The cubic root of 674976 is about 87.7194924833.

The spelling of 674976 in words is "six hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 89 96 158 178 237 267 316 356 474 534 632 712 948 1068 1264 1424 1896 2136 2528 2848 3792 4272 7031 7584 8544 14062 21093 28124 42186 56248 84372 112496 168744 224992 337488 674976