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2120646 = 2311223127
BaseRepresentation
bin1000000101101111000110
310222201222110
420011233012
51020330041
6113241450
724011433
oct10055706
93881873
102120646
111219300
12863286
13593328
143d2b8a
152bd516
hex205bc6

2120646 has 48 divisors (see below), whose sum is σ = 4902912. Its totient is φ = 609840.

The previous prime is 2120639. The next prime is 2120653. The reversal of 2120646 is 6460212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2120639) and next prime (2120653).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16635 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (102144).

22120646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451456).

2120646 is an abundant number, since it is smaller than the sum of its proper divisors (2782266).

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

2120646 is a wasteful number, since it uses less digits than its factorization.

2120646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2120646 is about 1456.2437982701. The cubic root of 2120646 is about 128.4762127488.

Adding to 2120646 its reverse (6460212), we get a palindrome (8580858).

It can be divided in two parts, 212064 and 6, that multiplied together give a square (1272384 = 11282).

The spelling of 2120646 in words is "two million, one hundred twenty thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 127 138 242 253 254 363 381 506 726 759 762 1397 1518 2783 2794 2921 4191 5566 5842 8349 8382 8763 15367 16698 17526 30734 32131 46101 64262 92202 96393 192786 353441 706882 1060323 2120646