Search a number
-
+
1281373392 = 243136730649
BaseRepresentation
bin100110001100000…
…0011010011010000
310022022010111211210
41030120003103100
510111012422032
6331052140120
743516331325
oct11430032320
93268114753
101281373392
115a8335882
122b9167640
13175615a10
14c2272b4c
15777612cc
hex4c6034d0

1281373392 has 80 divisors (see below), whose sum is σ = 3618171200. Its totient is φ = 388371456.

The previous prime is 1281373367. The next prime is 1281373463. The reversal of 1281373392 is 2933731821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1281373392.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 26484 + ... + 57132.

It is an arithmetic number, because the mean of its divisors is an integer number (45227140).

Almost surely, 21281373392 is an apocalyptic number.

1281373392 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 1281373392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809085600).

1281373392 is an abundant number, since it is smaller than the sum of its proper divisors (2336797808).

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

1281373392 is a wasteful number, since it uses less digits than its factorization.

1281373392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30740 (or 30734 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 1281373392 is about 35796.2762309154. The cubic root of 1281373392 is about 1086.1552369414.

The spelling of 1281373392 in words is "one billion, two hundred eighty-one million, three hundred seventy-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 134 156 201 208 268 312 402 536 624 804 871 1072 1608 1742 2613 3216 3484 5226 6968 10452 13936 20904 30649 41808 61298 91947 122596 183894 245192 367788 398437 490384 735576 796874 1195311 1471152 1593748 2053483 2390622 3187496 4106966 4781244 6160449 6374992 8213932 9562488 12320898 16427864 19124976 24641796 26695279 32855728 49283592 53390558 80085837 98567184 106781116 160171674 213562232 320343348 427124464 640686696 1281373392