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1906688 = 2117219
BaseRepresentation
bin111010001100000000000
310120212111002
413101200000
5442003223
6104511132
722130600
oct7214000
93525432
101906688
111092583
1277b4a8
13519b24
14378c00
15279e28
hex1d1800

1906688 has 72 divisors (see below), whose sum is σ = 4668300. Its totient is φ = 774144.

The previous prime is 1906673. The next prime is 1906691. The reversal of 1906688 is 8866091.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100343 + ... + 100361.

21906688 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 1906688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334150).

1906688 is an abundant number, since it is smaller than the sum of its proper divisors (2761612).

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

1906688 is an equidigital number, since it uses as much as digits as its factorization.

1906688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1906688 is about 1380.8287366651. The cubic root of 1906688 is about 124.0013874281.

Multiplying 1906688 by its sum of digits (38), we get a square (72454144 = 85122).

1906688 divided by its sum of digits (38) gives a square (50176 = 2242).

The spelling of 1906688 in words is "one million, nine hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 392 448 512 532 608 784 896 931 1024 1064 1216 1568 1792 1862 2048 2128 2432 3136 3584 3724 4256 4864 6272 7168 7448 8512 9728 12544 14336 14896 17024 19456 25088 29792 34048 38912 50176 59584 68096 100352 119168 136192 238336 272384 476672 953344 1906688