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2107296 = 2535271
BaseRepresentation
bin1000000010011110100000
310222001200000
420002132200
51014413141
6113100000
723624502
oct10023640
93861600
102107296
11120a274
12857600
1358a229
143cbd72
152b95b6
hex2027a0

2107296 has 72 divisors (see below), whose sum is σ = 6237504. Its totient is φ = 699840.

The previous prime is 2107289. The next prime is 2107319. The reversal of 2107296 is 6927012.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7641 + ... + 7911.

It is an arithmetic number, because the mean of its divisors is an integer number (86632).

22107296 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 2107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118752).

2107296 is an abundant number, since it is smaller than the sum of its proper divisors (4130208).

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

2107296 is an equidigital number, since it uses as much as digits as its factorization.

2107296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2107296 is about 1451.6528510632. The cubic root of 2107296 is about 128.2060483435.

The spelling of 2107296 in words is "two million, one hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 271 288 324 432 486 542 648 813 864 972 1084 1296 1626 1944 2168 2439 2592 3252 3888 4336 4878 6504 7317 7776 8672 9756 13008 14634 19512 21951 26016 29268 39024 43902 58536 65853 78048 87804 117072 131706 175608 234144 263412 351216 526824 702432 1053648 2107296