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1000216 = 23753337
BaseRepresentation
bin11110100001100011000
31212211001001
43310030120
5224001331
633234344
711334040
oct3641430
91784031
101000216
11623528
124029b4
13290359
141c0720
1514b561
hexf4318

1000216 has 32 divisors (see below), whose sum is σ = 2190240. Its totient is φ = 419328.

The previous prime is 1000213. The next prime is 1000231. The reversal of 1000216 is 6120001.

1000216 = 3752 + 3762 + ... + 3812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2800 + ... + 3136.

It is an arithmetic number, because the mean of its divisors is an integer number (68445).

21000216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095120).

1000216 is an abundant number, since it is smaller than the sum of its proper divisors (1190024).

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

1000216 is a wasteful number, since it uses less digits than its factorization.

1000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1000216 is about 1000.1079941686. The cubic root of 1000216 is about 100.0071994817.

Adding to 1000216 its reverse (6120001), we get a palindrome (7120217).

It can be divided in two parts, 1000 and 216, that multiplied together give a cube (216000 = 603).

The spelling of 1000216 in words is "one million, two hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 53 56 106 212 337 371 424 674 742 1348 1484 2359 2696 2968 4718 9436 17861 18872 35722 71444 125027 142888 250054 500108 1000216