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2097576 = 23351383
BaseRepresentation
bin1000000000000110101000
310221120100000
420000012220
51014110301
6112543000
723554245
oct10000650
93846300
102097576
111202a38
12851a60
13585990
143c85cc
152b6786
hex2001a8

2097576 has 96 divisors (see below), whose sum is σ = 6420960. Its totient is φ = 637632.

The previous prime is 2097559. The next prime is 2097593. The reversal of 2097576 is 6757902.

It is an interprime number because it is at equal distance from previous prime (2097559) and next prime (2097593).

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

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 2097576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25231 + ... + 25313.

It is an arithmetic number, because the mean of its divisors is an integer number (66885).

22097576 is an apocalyptic number.

2097576 is a gapful number since it is divisible by the number (26) 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 2097576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210480).

2097576 is an abundant number, since it is smaller than the sum of its proper divisors (4323384).

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

2097576 is a wasteful number, since it uses less digits than its factorization.

2097576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2097576 is about 1448.3010736722. The cubic root of 2097576 is about 128.0086257208.

The spelling of 2097576 in words is "two million, ninety-seven thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 83 104 108 117 156 162 166 216 234 243 249 312 324 332 351 468 486 498 648 664 702 747 936 972 996 1053 1079 1404 1494 1944 1992 2106 2158 2241 2808 2988 3159 3237 4212 4316 4482 5976 6318 6474 6723 8424 8632 8964 9711 12636 12948 13446 17928 19422 20169 25272 25896 26892 29133 38844 40338 53784 58266 77688 80676 87399 116532 161352 174798 233064 262197 349596 524394 699192 1048788 2097576