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1997568 = 2833172
BaseRepresentation
bin111100111101100000000
310202111011000
413213230000
51002410233
6110452000
722656546
oct7475400
93674130
101997568
111144891
12804000
1354c2c1
1439dd96
15296d13
hex1e7b00

1997568 has 108 divisors (see below), whose sum is σ = 6275080. Its totient is φ = 626688.

The previous prime is 1997557. The next prime is 1997587. The reversal of 1997568 is 8657991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117496 + ... + 117512.

21997568 is an apocalyptic number.

1997568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137540).

1997568 is an abundant number, since it is smaller than the sum of its proper divisors (4277512).

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

1997568 is an equidigital number, since it uses as much as digits as its factorization.

1997568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 22 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1997568 is about 1413.3534589762. The cubic root of 1997568 is about 125.9410154757.

The spelling of 1997568 in words is "one million, nine hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 289 306 384 408 432 459 544 576 578 612 768 816 864 867 918 1088 1152 1156 1224 1632 1728 1734 1836 2176 2304 2312 2448 2601 3264 3456 3468 3672 4352 4624 4896 5202 6528 6912 6936 7344 7803 9248 9792 10404 13056 13872 14688 15606 18496 19584 20808 27744 29376 31212 36992 39168 41616 55488 58752 62424 73984 83232 110976 117504 124848 166464 221952 249696 332928 499392 665856 998784 1997568