Search a number
-
+
1215968 = 25133779
BaseRepresentation
bin100101000110111100000
32021202222212
410220313200
5302402333
642021252
713223045
oct4506740
92252885
101215968
11760636
124a7828
13337610
142391cc
15190448
hex128de0

1215968 has 48 divisors (see below), whose sum is σ = 2681280. Its totient is φ = 539136.

The previous prime is 1215923. The next prime is 1216009. The reversal of 1215968 is 8695121.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15353 + ... + 15431.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

21215968 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 1215968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340640).

1215968 is an abundant number, since it is smaller than the sum of its proper divisors (1465312).

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

1215968 is a wasteful number, since it uses less digits than its factorization.

1215968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its digits is 4320, while the sum is 32.

The square root of 1215968 is about 1102.7093905468. The cubic root of 1215968 is about 106.7351296594.

The spelling of 1215968 in words is "one million, two hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 79 104 148 158 208 296 316 416 481 592 632 962 1027 1184 1264 1924 2054 2528 2923 3848 4108 5846 7696 8216 11692 15392 16432 23384 32864 37999 46768 75998 93536 151996 303992 607984 1215968