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2129868 = 2233133741
BaseRepresentation
bin1000000111111111001100
311000012122000
420013333030
51021123433
6113352300
724050346
oct10077714
94005560
102129868
111225224
12868690
135975a0
143d6296
152c1113
hex207fcc

2129868 has 96 divisors (see below), whose sum is σ = 6256320. Its totient is φ = 622080.

The previous prime is 2129867. The next prime is 2129887. The reversal of 2129868 is 8689212.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (13824) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2129861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51928 + ... + 51968.

It is an arithmetic number, because the mean of its divisors is an integer number (65170).

22129868 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 2129868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128160).

2129868 is an abundant number, since it is smaller than the sum of its proper divisors (4126452).

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

2129868 is a wasteful number, since it uses less digits than its factorization.

2129868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2129868 is about 1459.4067287771. The cubic root of 2129868 is about 128.6621772023.

The spelling of 2129868 in words is "two million, one hundred twenty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 41 52 54 74 78 82 108 111 117 123 148 156 164 222 234 246 333 351 369 444 468 481 492 533 666 702 738 962 999 1066 1107 1332 1404 1443 1476 1517 1599 1924 1998 2132 2214 2886 3034 3198 3996 4329 4428 4551 4797 5772 6068 6396 8658 9102 9594 12987 13653 14391 17316 18204 19188 19721 25974 27306 28782 39442 40959 51948 54612 57564 59163 78884 81918 118326 163836 177489 236652 354978 532467 709956 1064934 2129868