Search a number
-
+
676872 = 233271779
BaseRepresentation
bin10100101010000001000
31021101111100
42211100020
5133124442
622301400
75516250
oct2452010
91241440
10676872
114225a9
12287860
131a9121
14138960
15d584c
hexa5408

676872 has 96 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 179712.

The previous prime is 676861. The next prime is 676883. The reversal of 676872 is 278676.

It is an interprime number because it is at equal distance from previous prime (676861) and next prime (676883).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

676872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8529 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2676872 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 676872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

676872 is an abundant number, since it is smaller than the sum of its proper divisors (1569528).

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

676872 is a wasteful number, since it uses less digits than its factorization.

676872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 676872 is about 822.7223103818. The cubic root of 676872 is about 87.8015500545.

The spelling of 676872 in words is "six hundred seventy-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 79 84 102 119 126 136 153 158 168 204 237 238 252 306 316 357 408 474 476 504 553 612 632 711 714 948 952 1071 1106 1224 1343 1422 1428 1659 1896 2142 2212 2686 2844 2856 3318 4029 4284 4424 4977 5372 5688 6636 8058 8568 9401 9954 10744 12087 13272 16116 18802 19908 24174 28203 32232 37604 39816 48348 56406 75208 84609 96696 112812 169218 225624 338436 676872