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2123946 = 2321117631
BaseRepresentation
bin1000000110100010101010
310222220111200
420012202222
51020431241
6113305030
724024156
oct10064252
93886450
102123946
111220830
12865176
13594996
143d4066
152be4b6
hex2068aa

2123946 has 48 divisors (see below), whose sum is σ = 5323968. Its totient is φ = 604800.

The previous prime is 2123939. The next prime is 2123969. The reversal of 2123946 is 6493212.

It is a super-2 number, since 2×21239462 = 9022293221832, which contains 22 as substring.

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, 3051 + ... + 3681.

It is an arithmetic number, because the mean of its divisors is an integer number (110916).

22123946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661984).

2123946 is an abundant number, since it is smaller than the sum of its proper divisors (3200022).

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

2123946 is a wasteful number, since it uses less digits than its factorization.

2123946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 664 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2123946 is about 1457.3764098544. The cubic root of 2123946 is about 128.5428200898.

The spelling of 2123946 in words is "two million, one hundred twenty-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 631 1122 1262 1683 1893 3366 3786 5679 6941 10727 11358 13882 20823 21454 32181 41646 62469 64362 96543 117997 124938 193086 235994 353991 707982 1061973 2123946