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1221696 = 26337101
BaseRepresentation
bin100101010010001000000
32022001212000
410222101000
5303043241
642104000
713245540
oct4522100
92261760
101221696
11764973
124ab000
1333a0c8
1423b320
15191eb6
hex12a440

1221696 has 112 divisors (see below), whose sum is σ = 4145280. Its totient is φ = 345600.

The previous prime is 1221667. The next prime is 1221707. The reversal of 1221696 is 6961221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×12216962 = 2985082232832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12046 + ... + 12146.

21221696 is an apocalyptic number.

1221696 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 1221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072640).

1221696 is an abundant number, since it is smaller than the sum of its proper divisors (2923584).

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

1221696 is a wasteful number, since it uses less digits than its factorization.

1221696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1221696 is about 1105.3035782083. The cubic root of 1221696 is about 106.9024644713.

The spelling of 1221696 in words is "one million, two hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 101 108 112 126 144 168 189 192 202 216 224 252 288 303 336 378 404 432 448 504 576 606 672 707 756 808 864 909 1008 1212 1344 1414 1512 1616 1728 1818 2016 2121 2424 2727 2828 3024 3232 3636 4032 4242 4848 5454 5656 6048 6363 6464 7272 8484 9696 10908 11312 12096 12726 14544 16968 19089 19392 21816 22624 25452 29088 33936 38178 43632 45248 50904 58176 67872 76356 87264 101808 135744 152712 174528 203616 305424 407232 610848 1221696