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1007214 = 231337349
BaseRepresentation
bin11110101111001101110
31220011122020
43311321232
5224212324
633331010
711363325
oct3657156
91804566
101007214
1162880a
12406a66
132935b0
141c30bc
1514d679
hexf5e6e

1007214 has 32 divisors (see below), whose sum is σ = 2234400. Its totient is φ = 300672.

The previous prime is 1007203. The next prime is 1007231. The reversal of 1007214 is 4127001.

It is a junction number, because it is equal to n+sod(n) for n = 1007193 and 1007202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2712 + ... + 3060.

It is an arithmetic number, because the mean of its divisors is an integer number (69825).

21007214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117200).

1007214 is an abundant number, since it is smaller than the sum of its proper divisors (1227186).

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

1007214 is a wasteful number, since it uses less digits than its factorization.

1007214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 1007214 is about 1003.6005181346. The cubic root of 1007214 is about 100.2398907309.

It can be divided in two parts, 1007 and 214, that added together give a palindrome (1221).

The spelling of 1007214 in words is "one million, seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 349 481 698 962 1047 1443 2094 2886 4537 9074 12913 13611 25826 27222 38739 77478 167869 335738 503607 1007214