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1406104 = 237217211
BaseRepresentation
bin101010111010010011000
32122102210221
411113102120
5324443404
650045424
714644300
oct5272230
92572727
101406104
11880477
12579874
133a301b
14288600
151cb954
hex157498

1406104 has 48 divisors (see below), whose sum is σ = 3262680. Its totient is φ = 564480.

The previous prime is 1406101. The next prime is 1406159. The reversal of 1406104 is 4016041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6559 + ... + 6769.

21406104 is an apocalyptic number.

1406104 is a gapful number since it is divisible by the number (14) 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 1406104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631340).

1406104 is an abundant number, since it is smaller than the sum of its proper divisors (1856576).

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

1406104 is a wasteful number, since it uses less digits than its factorization.

1406104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1406104 is about 1185.7925619601. The cubic root of 1406104 is about 112.0312412847.

The spelling of 1406104 in words is "one million, four hundred six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 211 238 392 422 476 833 844 952 1477 1666 1688 2954 3332 3587 5908 6664 7174 10339 11816 14348 20678 25109 28696 41356 50218 82712 100436 175763 200872 351526 703052 1406104