Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
2107392 = 211373
BaseRepresentation
bin1000000010100000000000
310222001210120
420002200000
51014414032
6113100240
723625000
oct10024000
93861716
102107392
11120a351
12857680
1358a2a1
143cc000
152b962c
hex202800

2107392 has 96 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 602112.

The previous prime is 2107381. The next prime is 2107393. The reversal of 2107392 is 2937012.

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

It is a super-2 number, since 2×21073922 = 8882202083328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2107393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301053 + ... + 301059.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

22107392 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 2107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2107392 is an abundant number, since it is smaller than the sum of its proper divisors (4444608).

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

2107392 is an frugal number, since it uses more digits than its factorization.

2107392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2107392 is about 1451.6859164434. The cubic root of 2107392 is about 128.2079951660.

The spelling of 2107392 in words is "two million, one hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 512 588 672 686 768 784 896 1024 1029 1176 1344 1372 1536 1568 1792 2048 2058 2352 2688 2744 3072 3136 3584 4116 4704 5376 5488 6144 6272 7168 8232 9408 10752 10976 12544 14336 16464 18816 21504 21952 25088 32928 37632 43008 43904 50176 65856 75264 87808 100352 131712 150528 175616 263424 301056 351232 526848 702464 1053696 2107392