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1412900 = 225271199
BaseRepresentation
bin101011000111100100100
32122210010122
411120330210
5330203100
650141112
715003146
oct5307444
92583118
101412900
11885595
12581798
133a6148
1428ac96
151cd985
hex158f24

1412900 has 36 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 554400.

The previous prime is 1412893. The next prime is 1412903. The reversal of 1412900 is 92141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1412903) 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, 7001 + ... + 7199.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

21412900 is an apocalyptic number.

1412900 is a gapful number since it is divisible by the number (10) 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 1412900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1412900 is an abundant number, since it is smaller than the sum of its proper divisors (1711900).

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

1412900 is a wasteful number, since it uses less digits than its factorization.

1412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1412900 is about 1188.6547017532. The cubic root of 1412900 is about 112.2114415608.

The spelling of 1412900 in words is "one million, four hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 199 284 355 398 710 796 995 1420 1775 1990 3550 3980 4975 7100 9950 14129 19900 28258 56516 70645 141290 282580 353225 706450 1412900