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2100896 = 25783113
BaseRepresentation
bin1000000000111010100000
310221201212222
420000322200
51014212041
6113010212
723600030
oct10007240
93851788
102100896
111205486
12853968
13587345
143c98c0
152b774b
hex200ea0

2100896 has 48 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 881664.

The previous prime is 2100893. The next prime is 2100899. The reversal of 2100896 is 6980012.

It is an interprime number because it is at equal distance from previous prime (2100893) and next prime (2100899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100893) 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, 18536 + ... + 18648.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

22100896 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 2100896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

2100896 is an abundant number, since it is smaller than the sum of its proper divisors (2725408).

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

2100896 is a wasteful number, since it uses less digits than its factorization.

2100896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 2100896 is about 1449.4467910206. The cubic root of 2100896 is about 128.0761265906.

The spelling of 2100896 in words is "two million, one hundred thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 113 166 224 226 332 452 581 664 791 904 1162 1328 1582 1808 2324 2656 3164 3616 4648 6328 9296 9379 12656 18592 18758 25312 37516 65653 75032 131306 150064 262612 300128 525224 1050448 2100896