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1400224 = 25721947
BaseRepresentation
bin101010101110110100000
32122010202011
411111312200
5324301344
650002304
714621200
oct5256640
92563664
101400224
11877011
12576394
133a0447
14286400
151c9d34
hex155da0

1400224 has 72 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 556416.

The previous prime is 1400197. The next prime is 1400249. The reversal of 1400224 is 4220041.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29769 + ... + 29815.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

21400224 is an apocalyptic number.

1400224 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 1400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1400224 is an abundant number, since it is smaller than the sum of its proper divisors (2047136).

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

1400224 is a wasteful number, since it uses less digits than its factorization.

1400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1400224 is about 1183.3106101105. The cubic root of 1400224 is about 111.8748602310.

Adding to 1400224 its reverse (4220041), we get a palindrome (5620265).

It can be divided in two parts, 1400 and 224, that multiplied together give a square (313600 = 5602).

The spelling of 1400224 in words is "one million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 47 49 56 76 94 98 112 133 152 188 196 224 266 304 329 376 392 532 608 658 752 784 893 931 1064 1316 1504 1568 1786 1862 2128 2303 2632 3572 3724 4256 4606 5264 6251 7144 7448 9212 10528 12502 14288 14896 18424 25004 28576 29792 36848 43757 50008 73696 87514 100016 175028 200032 350056 700112 1400224