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2100192 = 253131167
BaseRepresentation
bin1000000000101111100000
310221200220220
420000233200
51014201232
6113003040
723565003
oct10005740
93850826
102100192
1112049a6
12853480
13586c23
143c953a
152b742c
hex200be0

2100192 has 48 divisors (see below), whose sum is σ = 5588352. Its totient is φ = 690560.

The previous prime is 2100191. The next prime is 2100193. The reversal of 2100192 is 2910012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100191) and next prime (2100193).

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12493 + ... + 12659.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

22100192 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 2100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794176).

2100192 is an abundant number, since it is smaller than the sum of its proper divisors (3488160).

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

2100192 is a wasteful number, since it uses less digits than its factorization.

2100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2100192 is about 1449.2039193985. The cubic root of 2100192 is about 128.0618190973.

The spelling of 2100192 in words is "two million, one hundred thousand, one hundred ninety-two".