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1305696 = 25372967
BaseRepresentation
bin100111110110001100000
32110100002010
410332301200
5313240241
643552520
714045460
oct4766140
92410063
101305696
11811a97
1252b740
13369402
1425dba0
151abd16
hex13ec60

1305696 has 96 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 354816.

The previous prime is 1305691. The next prime is 1305701. The reversal of 1305696 is 6965031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1305691) and next prime (1305701).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305691) 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, 19455 + ... + 19521.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

21305696 is an apocalyptic number.

1305696 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 1305696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320).

1305696 is an abundant number, since it is smaller than the sum of its proper divisors (2806944).

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

1305696 is a wasteful number, since it uses less digits than its factorization.

1305696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1305696 is about 1142.6705561972. The cubic root of 1305696 is about 109.2984553962.

The spelling of 1305696 in words is "one million, three hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 67 84 87 96 112 116 134 168 174 201 203 224 232 268 336 348 402 406 464 469 536 609 672 696 804 812 928 938 1072 1218 1392 1407 1608 1624 1876 1943 2144 2436 2784 2814 3216 3248 3752 3886 4872 5628 5829 6432 6496 7504 7772 9744 11256 11658 13601 15008 15544 19488 22512 23316 27202 31088 40803 45024 46632 54404 62176 81606 93264 108808 163212 186528 217616 326424 435232 652848 1305696