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2083100 = 225237563
BaseRepresentation
bin111111100100100011100
310220211110212
413330210130
51013124400
6112351552
723464115
oct7744434
93824425
102083100
1111a3078
128455b8
1357c206
143c320c
152b2335
hex1fc91c

2083100 has 36 divisors (see below), whose sum is σ = 4650744. Its totient is φ = 809280.

The previous prime is 2083091. The next prime is 2083117. The reversal of 2083100 is 13802.

It is a super-2 number, since 2×20831002 = 8678611220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3419 + ... + 3981.

22083100 is an apocalyptic number.

2083100 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 2083100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325372).

2083100 is an abundant number, since it is smaller than the sum of its proper divisors (2567644).

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

2083100 is a wasteful number, since it uses less digits than its factorization.

2083100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2083100 is about 1443.2948416730. The cubic root of 2083100 is about 127.7134704067.

Adding to 2083100 its reverse (13802), we get a palindrome (2096902).

The spelling of 2083100 in words is "two million, eighty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 563 740 925 1126 1850 2252 2815 3700 5630 11260 14075 20831 28150 41662 56300 83324 104155 208310 416620 520775 1041550 2083100