Search a number
-
+
1219968 = 2733353
BaseRepresentation
bin100101001110110000000
32021222111000
410221312000
5303014333
642052000
713240521
oct4516600
92258430
101219968
11763642
124aa000
13339399
1423a848
15191713
hex129d80

1219968 has 64 divisors (see below), whose sum is σ = 3610800. Its totient is φ = 405504.

The previous prime is 1219963. The next prime is 1219991. The reversal of 1219968 is 8699121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1219961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3280 + ... + 3632.

21219968 is an apocalyptic number.

1219968 is a gapful number since it is divisible by the number (18) 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 1219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805400).

1219968 is an abundant number, since it is smaller than the sum of its proper divisors (2390832).

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

1219968 is an equidigital number, since it uses as much as digits as its factorization.

1219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1219968 is about 1104.5216159044. The cubic root of 1219968 is about 106.8520387731.

It can be divided in two parts, 1219 and 968, that added together give a 7-th power (2187 = 37).

The spelling of 1219968 in words is "one million, two hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 353 384 432 576 706 864 1059 1152 1412 1728 2118 2824 3177 3456 4236 5648 6354 8472 9531 11296 12708 16944 19062 22592 25416 33888 38124 45184 50832 67776 76248 101664 135552 152496 203328 304992 406656 609984 1219968