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2107116 = 22321117313
BaseRepresentation
bin1000000010011011101100
310222001102100
420002123230
51014411431
6113055100
723624124
oct10023354
93861370
102107116
11120a120
12857490
1358a11b
143cbc84
152b94e6
hex2026ec

2107116 has 72 divisors (see below), whose sum is σ = 6171984. Its totient is φ = 599040.

The previous prime is 2107109. The next prime is 2107117. The reversal of 2107116 is 6117012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2107117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6576 + ... + 6888.

It is an arithmetic number, because the mean of its divisors is an integer number (85722).

22107116 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 2107116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085992).

2107116 is an abundant number, since it is smaller than the sum of its proper divisors (4064868).

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

2107116 is a wasteful number, since it uses less digits than its factorization.

2107116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2107116 is about 1451.5908514454. The cubic root of 2107116 is about 128.2023978919.

The spelling of 2107116 in words is "two million, one hundred seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 313 374 396 561 612 626 748 939 1122 1252 1683 1878 2244 2817 3366 3443 3756 5321 5634 6732 6886 10329 10642 11268 13772 15963 20658 21284 30987 31926 41316 47889 58531 61974 63852 95778 117062 123948 175593 191556 234124 351186 526779 702372 1053558 2107116