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2095104 = 21131131
BaseRepresentation
bin111111111100000000000
310221102221110
413333200000
51014020404
6112523320
723544114
oct7774000
93842843
102095104
1112010a0
12850540
1358480b
143c7744
152b5b89
hex1ff800

2095104 has 96 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 614400.

The previous prime is 2095099. The next prime is 2095109. The reversal of 2095104 is 4015902.

It is an interprime number because it is at equal distance from previous prime (2095099) and next prime (2095109).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67569 + ... + 67599.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

22095104 is an apocalyptic number.

2095104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2095104 is an abundant number, since it is smaller than the sum of its proper divisors (4194816).

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

2095104 is a wasteful number, since it uses less digits than its factorization.

2095104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2095104 is about 1447.4474083710. The cubic root of 2095104 is about 127.9583197626.

The spelling of 2095104 in words is "two million, ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 512 528 682 704 744 768 992 1023 1024 1056 1364 1408 1488 1536 1984 2046 2048 2112 2728 2816 2976 3072 3968 4092 4224 5456 5632 5952 6144 7936 8184 8448 10912 11264 11904 15872 16368 16896 21824 22528 23808 31744 32736 33792 43648 47616 63488 65472 67584 87296 95232 130944 174592 190464 261888 349184 523776 698368 1047552 2095104