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1101216 = 25311471
BaseRepresentation
bin100001100110110100000
32001221120210
410030312200
5240214331
635334120
712234354
oct4146640
92057523
101101216
116923a6
12451340
132c730c
14209464
1516b446
hex10cda0

1101216 has 24 divisors (see below), whose sum is σ = 2890944. Its totient is φ = 367040.

The previous prime is 1101211. The next prime is 1101229. The reversal of 1101216 is 6121011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1101211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5640 + ... + 5831.

It is an arithmetic number, because the mean of its divisors is an integer number (120456).

21101216 is an apocalyptic number.

1101216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1101216 is an abundant number, since it is smaller than the sum of its proper divisors (1789728).

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

1101216 is a wasteful number, since it uses less digits than its factorization.

1101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11484 (or 11476 counting only the distinct ones).

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

The square root of 1101216 is about 1049.3883933035. The cubic root of 1101216 is about 103.2660354960.

Adding to 1101216 its reverse (6121011), we get a palindrome (7222227).

It can be divided in two parts, 110 and 1216, that added together give a triangular number (1326 = T51).

The spelling of 1101216 in words is "one million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11471 22942 34413 45884 68826 91768 137652 183536 275304 367072 550608 1101216