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4197096 = 233517127
BaseRepresentation
bin10000000000101011101000
321220020100000
4100000223220
52033301341
6225543000
750450301
oct20005350
97806300
104197096
112407382
1214a4a60
13b3c4b7
147b37a8
1557d8b6
hex400ae8

4197096 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1306368.

The previous prime is 4197091. The next prime is 4197097. The reversal of 4197096 is 6907914.

It is a super-2 number, since 2×41970962 = 35231229666432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4197096.

It is not an unprimeable number, because it can be changed into a prime (4197091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32985 + ... + 33111.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 24197096 is an apocalyptic number.

4197096 is the 1296-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4197096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

4197096 is an abundant number, since it is smaller than the sum of its proper divisors (8382744).

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

4197096 is a wasteful number, since it uses less digits than its factorization.

4197096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4197096 is about 2048.6815272267. The cubic root of 4197096 is about 161.3056703400.

Adding to 4197096 its product of nonzero digits (13608), we get a square (4210704 = 20522).

The spelling of 4197096 in words is "four million, one hundred ninety-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 127 136 153 162 204 216 243 254 306 324 381 408 459 486 508 612 648 762 918 972 1016 1143 1224 1377 1524 1836 1944 2159 2286 2754 3048 3429 3672 4131 4318 4572 5508 6477 6858 8262 8636 9144 10287 11016 12954 13716 16524 17272 19431 20574 25908 27432 30861 33048 38862 41148 51816 58293 61722 77724 82296 116586 123444 155448 174879 233172 246888 349758 466344 524637 699516 1049274 1399032 2098548 4197096