Search a number
-
+
996870 = 235747101
BaseRepresentation
bin11110011011000000110
31212122110010
43303120012
5223344440
633211050
711321220
oct3633006
91778403
10996870
11620a66
12400a86
1328b984
141bd410
1514a580
hexf3606

996870 has 64 divisors (see below), whose sum is σ = 2820096. Its totient is φ = 220800.

The previous prime is 996859. The next prime is 996871. The reversal of 996870 is 78699.

996870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996871) by changing a digit.

996870 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 31 ways as a sum of consecutive naturals, for example, 9820 + ... + 9920.

It is an arithmetic number, because the mean of its divisors is an integer number (44064).

2996870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410048).

996870 is an abundant number, since it is smaller than the sum of its proper divisors (1823226).

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

996870 is a wasteful number, since it uses less digits than its factorization.

996870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 996870 is about 998.4337734672. The cubic root of 996870 is about 99.8955576225.

The spelling of 996870 in words is "nine hundred ninety-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 101 105 141 202 210 235 282 303 329 470 505 606 658 705 707 987 1010 1410 1414 1515 1645 1974 2121 3030 3290 3535 4242 4747 4935 7070 9494 9870 10605 14241 21210 23735 28482 33229 47470 66458 71205 99687 142410 166145 199374 332290 498435 996870