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1415216 = 241121743
BaseRepresentation
bin101011001100000110000
32122220022102
411121200300
5330241331
650155532
715012665
oct5314060
92586272
101415216
11887300
12582ba8
133a720a
1428ba6c
151ce4cb
hex159830

1415216 has 60 divisors (see below), whose sum is σ = 3265416. Its totient is φ = 591360.

The previous prime is 1415207. The next prime is 1415221. The reversal of 1415216 is 6125141.

It is a super-3 number, since 3×14152163 = 8503338044594393088, which contains 333 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

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, 32891 + ... + 32933.

21415216 is an apocalyptic number.

1415216 is a gapful number since it is divisible by the number (16) 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 1415216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632708).

1415216 is an abundant number, since it is smaller than the sum of its proper divisors (1850200).

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

1415216 is a wasteful number, since it uses less digits than its factorization.

1415216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 1415216 is about 1189.6285134444. The cubic root of 1415216 is about 112.2727197428.

The spelling of 1415216 in words is "one million, four hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 43 44 68 86 88 121 136 172 176 187 242 272 344 374 473 484 688 731 748 946 968 1462 1496 1892 1936 2057 2924 2992 3784 4114 5203 5848 7568 8041 8228 10406 11696 16082 16456 20812 32164 32912 41624 64328 83248 88451 128656 176902 353804 707608 1415216