Search a number
-
+
1242752 = 2771973
BaseRepresentation
bin100101111011010000000
32100010201212
410233122000
5304232002
642345252
713364120
oct4573200
92303655
101242752
11779775
124bb228
13346874
14244c80
15198352
hex12f680

1242752 has 64 divisors (see below), whose sum is σ = 3019200. Its totient is φ = 497664.

The previous prime is 1242739. The next prime is 1242757. The reversal of 1242752 is 2572421.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1242757) 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, 16988 + ... + 17060.

It is an arithmetic number, because the mean of its divisors is an integer number (47175).

21242752 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 1242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509600).

1242752 is an abundant number, since it is smaller than the sum of its proper divisors (1776448).

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

1242752 is an equidigital number, since it uses as much as digits as its factorization.

1242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 1120, while the sum is 23.

The square root of 1242752 is about 1114.7878721981. The cubic root of 1242752 is about 107.5131262140.

The spelling of 1242752 in words is "one million, two hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 73 76 112 128 133 146 152 224 266 292 304 448 511 532 584 608 896 1022 1064 1168 1216 1387 2044 2128 2336 2432 2774 4088 4256 4672 5548 8176 8512 9344 9709 11096 16352 17024 19418 22192 32704 38836 44384 65408 77672 88768 155344 177536 310688 621376 1242752