Search a number
-
+
7096992 = 253759179
BaseRepresentation
bin11011000100101010100000
3111100120020120
4123010222200
53304100432
6412040240
7114215640
oct33045240
914316216
107096992
114008091
122463080
131616406
14d2a520
15952c2c
hex6c4aa0

7096992 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 1982208.

The previous prime is 7096981. The next prime is 7096993. The reversal of 7096992 is 2996907.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7096993) 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, 39559 + ... + 39737.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 27096992 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 7096992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

7096992 is an abundant number, since it is smaller than the sum of its proper divisors (14675808).

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

7096992 is a wasteful number, since it uses less digits than its factorization.

7096992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 7096992 is about 2664.0180179571. The cubic root of 7096992 is about 192.1725878707.

The spelling of 7096992 in words is "seven million, ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 168 177 179 224 236 336 354 358 413 472 537 672 708 716 826 944 1074 1239 1253 1416 1432 1652 1888 2148 2478 2506 2832 2864 3304 3759 4296 4956 5012 5664 5728 6608 7518 8592 9912 10024 10561 13216 15036 17184 19824 20048 21122 30072 31683 39648 40096 42244 60144 63366 73927 84488 120288 126732 147854 168976 221781 253464 295708 337952 443562 506928 591416 887124 1013856 1182832 1774248 2365664 3548496 7096992