Search a number
-
+
1238704272 = 243313367601
BaseRepresentation
bin100100111010101…
…0010000010010000
310012022211200211000
41021311102002100
510014102014042
6322525422000
742460545501
oct11165220220
93168750730
101238704272
11586241943
122a6a0a900
13169826310
14ba726ba8
1573b3374c
hex49d52090

1238704272 has 160 divisors (see below), whose sum is σ = 3845864960. Its totient is φ = 379468800.

The previous prime is 1238704267. The next prime is 1238704309. The reversal of 1238704272 is 2724078321.

1238704272 is a `hidden beast` number, since 1 + 2 + 387 + 0 + 4 + 272 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2060772 + ... + 2061372.

It is an arithmetic number, because the mean of its divisors is an integer number (24036656).

Almost surely, 21238704272 is an apocalyptic number.

1238704272 is a gapful number since it is divisible by the number (12) 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 1238704272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922932480).

1238704272 is an abundant number, since it is smaller than the sum of its proper divisors (2607160688).

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

1238704272 is a wasteful number, since it uses less digits than its factorization.

1238704272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1238704272 is about 35195.2308132792. The cubic root of 1238704272 is about 1073.9627339524.

The spelling of 1238704272 in words is "one billion, two hundred thirty-eight million, seven hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 367 432 468 601 624 702 734 936 1101 1202 1404 1468 1803 1872 2202 2404 2808 2936 3303 3606 4404 4771 4808 5409 5616 5872 6606 7212 7813 8808 9542 9616 9909 10818 13212 14313 14424 15626 16227 17616 19084 19818 21636 23439 26424 28626 28848 31252 32454 38168 39636 42939 43272 46878 52848 57252 62504 64908 70317 76336 79272 85878 86544 93756 114504 125008 128817 129816 140634 158544 171756 187512 210951 220567 229008 257634 259632 281268 343512 375024 421902 441134 515268 562536 661701 687024 843804 882268 1030536 1125072 1323402 1687608 1764536 1985103 2061072 2646804 2867371 3375216 3529072 3970206 5293608 5734742 5955309 7940412 8602113 10587216 11469484 11910618 15880824 17204226 22938968 23821236 25806339 31761648 34408452 45877936 47642472 51612678 68816904 77419017 95284944 103225356 137633808 154838034 206450712 309676068 412901424 619352136 1238704272