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1371216 = 243721153
BaseRepresentation
bin101001110110001010000
32120122221210
411032301100
5322334331
645220120
714440500
oct5166120
92518853
101371216
11857240
12561640
13390192
14279a00
151c1446
hex14ec50

1371216 has 120 divisors (see below), whose sum is σ = 4580064. Its totient is φ = 349440.

The previous prime is 1371193. The next prime is 1371217. The reversal of 1371216 is 6121731.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1371192 and 1371201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1371217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25846 + ... + 25898.

21371216 is an apocalyptic number.

1371216 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 1371216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290032).

1371216 is an abundant number, since it is smaller than the sum of its proper divisors (3208848).

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

1371216 is a wasteful number, since it uses less digits than its factorization.

1371216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 76 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 1371216 is about 1170.9893253143. The cubic root of 1371216 is about 111.0969042576.

Adding to 1371216 its reverse (6121731), we get a palindrome (7492947).

The spelling of 1371216 in words is "one million, three hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 53 56 66 77 84 88 98 106 112 132 147 154 159 168 176 196 212 231 264 294 308 318 336 371 392 424 462 528 539 583 588 616 636 742 784 848 924 1078 1113 1166 1176 1232 1272 1484 1617 1749 1848 2156 2226 2332 2352 2544 2597 2968 3234 3498 3696 4081 4312 4452 4664 5194 5936 6468 6996 7791 8162 8624 8904 9328 10388 12243 12936 13992 15582 16324 17808 20776 24486 25872 27984 28567 31164 32648 41552 48972 57134 62328 65296 85701 97944 114268 124656 171402 195888 228536 342804 457072 685608 1371216