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1245216 = 253717109
BaseRepresentation
bin100110000000000100000
32100021010010
410300000200
5304321331
642404520
713404240
oct4600040
92307103
101245216
11780605
12500740
13347a1b
14245b20
15198e46
hex130020

1245216 has 96 divisors (see below), whose sum is σ = 3991680. Its totient is φ = 331776.

The previous prime is 1245191. The next prime is 1245217. The reversal of 1245216 is 6125421.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1245192 and 1245201.

It is not an unprimeable number, because it can be changed into a prime (1245217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11370 + ... + 11478.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

21245216 is an apocalyptic number.

1245216 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 1245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995840).

1245216 is an abundant number, since it is smaller than the sum of its proper divisors (2746464).

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

1245216 is a wasteful number, since it uses less digits than its factorization.

1245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 1245216 is about 1115.8924679377. The cubic root of 1245216 is about 107.5841346038.

The spelling of 1245216 in words is "one million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 109 112 119 136 168 204 218 224 238 272 327 336 357 408 436 476 544 654 672 714 763 816 872 952 1308 1428 1526 1632 1744 1853 1904 2289 2616 2856 3052 3488 3706 3808 4578 5232 5559 5712 6104 7412 9156 10464 11118 11424 12208 12971 14824 18312 22236 24416 25942 29648 36624 38913 44472 51884 59296 73248 77826 88944 103768 155652 177888 207536 311304 415072 622608 1245216