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2145100 = 2252191129
BaseRepresentation
bin1000001011101101001100
311000222112011
420023231030
51022120400
6113551004
724142636
oct10135514
94028464
102145100
111235711
12875464
135a14b9
143dba56
152c58ba
hex20bb4c

2145100 has 36 divisors (see below), whose sum is σ = 4904200. Its totient is φ = 812160.

The previous prime is 2145097. The next prime is 2145103. The reversal of 2145100 is 15412.

It is an interprime number because it is at equal distance from previous prime (2145097) and next prime (2145103).

It is not an unprimeable number, because it can be changed into a prime (2145103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1336 + ... + 2464.

22145100 is an apocalyptic number.

2145100 is a gapful number since it is divisible by the number (20) 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 2145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452100).

2145100 is an abundant number, since it is smaller than the sum of its proper divisors (2759100).

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

2145100 is a wasteful number, since it uses less digits than its factorization.

2145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2145100 is about 1464.6159906269. The cubic root of 2145100 is about 128.9681631267.

The spelling of 2145100 in words is "two million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1129 1900 2258 4516 5645 11290 21451 22580 28225 42902 56450 85804 107255 112900 214510 429020 536275 1072550 2145100