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2097904 = 241967103
BaseRepresentation
bin1000000000001011110000
310221120210011
420000023300
51014113104
6112544304
723555224
oct10001360
93846704
102097904
111203206
12852094
13585b83
143c8784
152b6904
hex2002f0

2097904 has 40 divisors (see below), whose sum is σ = 4384640. Its totient is φ = 969408.

The previous prime is 2097883. The next prime is 2097911. The reversal of 2097904 is 4097902.

2097904 = T216 + T217 + ... + T282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20317 + ... + 20419.

It is an arithmetic number, because the mean of its divisors is an integer number (109616).

22097904 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 2097904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192320).

2097904 is an abundant number, since it is smaller than the sum of its proper divisors (2286736).

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

2097904 is a wasteful number, since it uses less digits than its factorization.

2097904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 2097904 is about 1448.4143053698. The cubic root of 2097904 is about 128.0152976508.

It can be divided in two parts, 209790 and 4, that multiplied together give a triangular number (839160 = T1295).

The spelling of 2097904 in words is "two million, ninety-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 38 67 76 103 134 152 206 268 304 412 536 824 1072 1273 1648 1957 2546 3914 5092 6901 7828 10184 13802 15656 20368 27604 31312 55208 110416 131119 262238 524476 1048952 2097904