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2105334 = 232731131
BaseRepresentation
bin1000000001111111110110
310221221222100
420001333312
51014332314
6113042530
723616000
oct10017766
93857870
102105334
111208850
12856446
1358937a
143cb370
152b8c09
hex201ff6

2105334 has 96 divisors (see below), whose sum is σ = 5990400. Its totient is φ = 529200.

The previous prime is 2105329. The next prime is 2105347. The reversal of 2105334 is 4335012.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67899 + ... + 67929.

It is an arithmetic number, because the mean of its divisors is an integer number (62400).

22105334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995200).

2105334 is an abundant number, since it is smaller than the sum of its proper divisors (3885066).

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

2105334 is a wasteful number, since it uses less digits than its factorization.

2105334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2105334 is about 1450.9769122905. The cubic root of 2105334 is about 128.1662471998.

The spelling of 2105334 in words is "two million, one hundred five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 49 62 63 66 77 93 98 99 126 147 154 186 198 217 231 279 294 341 343 434 441 462 539 558 651 682 686 693 882 1023 1029 1078 1302 1386 1519 1617 1953 2046 2058 2387 3038 3069 3087 3234 3773 3906 4557 4774 4851 6138 6174 7161 7546 9114 9702 10633 11319 13671 14322 16709 21266 21483 22638 27342 31899 33418 33957 42966 50127 63798 67914 95697 100254 116963 150381 191394 233926 300762 350889 701778 1052667 2105334