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1229904 = 24341373
BaseRepresentation
bin100101100010001010000
32022111010000
410230101100
5303324104
642210000
713311504
oct4542120
92274100
101229904
11770055
124b3900
13340a70
14240304
15194639
hex12c450

1229904 has 100 divisors (see below), whose sum is σ = 3886036. Its totient is φ = 373248.

The previous prime is 1229903. The next prime is 1229911. The reversal of 1229904 is 4099221.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 810000 = 648^2 + 900^2 .

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

It is a nialpdrome in base 6.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1229903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16812 + ... + 16884.

21229904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943018).

1229904 is an abundant number, since it is smaller than the sum of its proper divisors (2656132).

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

1229904 is a wasteful number, since it uses less digits than its factorization.

1229904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

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

The square root of 1229904 is about 1109.0103696540. The cubic root of 1229904 is about 107.1413394071.

1229904 divided by its product of nonzero digits (1296) gives a palindrome (949).

The spelling of 1229904 in words is "one million, two hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 73 78 81 104 108 117 144 146 156 162 208 216 219 234 292 312 324 351 432 438 468 584 624 648 657 702 876 936 949 1053 1168 1296 1314 1404 1752 1872 1898 1971 2106 2628 2808 2847 3504 3796 3942 4212 5256 5616 5694 5913 7592 7884 8424 8541 10512 11388 11826 15184 15768 16848 17082 22776 23652 25623 31536 34164 45552 47304 51246 68328 76869 94608 102492 136656 153738 204984 307476 409968 614952 1229904