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2102592 = 26347233
BaseRepresentation
bin1000000001010101000000
310221211012210
420001111000
51014240332
6113022120
723605002
oct10012500
93854183
102102592
111206788
12854940
1358804b
143ca372
152b7ecc
hex201540

2102592 has 56 divisors (see below), whose sum is σ = 5705856. Its totient is φ = 683008.

The previous prime is 2102579. The next prime is 2102593. The reversal of 2102592 is 2952012.

2102592 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8908 + ... + 9140.

22102592 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 2102592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852928).

2102592 is an abundant number, since it is smaller than the sum of its proper divisors (3603264).

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

2102592 is a wasteful number, since it uses less digits than its factorization.

2102592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

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

The square root of 2102592 is about 1450.0317237909. The cubic root of 2102592 is about 128.1105815224.

The spelling of 2102592 in words is "two million, one hundred two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 233 282 376 466 564 699 752 932 1128 1398 1504 1864 2256 2796 3008 3728 4512 5592 7456 9024 10951 11184 14912 21902 22368 32853 43804 44736 65706 87608 131412 175216 262824 350432 525648 700864 1051296 2102592