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1406772 = 2232231699
BaseRepresentation
bin101010111011100110100
32122110201200
411113130310
5330004042
650052500
714646243
oct5273464
92573650
101406772
11880a24
1257a130
133a3413
1428895a
151cbc4c
hex157734

1406772 has 36 divisors (see below), whose sum is σ = 3712800. Its totient is φ = 448272.

The previous prime is 1406771. The next prime is 1406773. The reversal of 1406772 is 2776041.

It is an interprime number because it is at equal distance from previous prime (1406771) and next prime (1406773).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406771) 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, 22 + ... + 1677.

21406772 is an apocalyptic number.

1406772 is a gapful number since it is divisible by the number (12) 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 1406772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856400).

1406772 is an abundant number, since it is smaller than the sum of its proper divisors (2306028).

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

1406772 is a wasteful number, since it uses less digits than its factorization.

1406772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1406772 is about 1186.0741966673. The cubic root of 1406772 is about 112.0489794277.

The spelling of 1406772 in words is "one million, four hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1699 3398 5097 6796 10194 15291 20388 30582 39077 61164 78154 117231 156308 234462 351693 468924 703386 1406772