Search a number
-
+
1072938465 = 32523843077
BaseRepresentation
bin111111111100111…
…011110111100001
32202202220220212200
4333330323313201
54144133012330
6254244443413
735405553324
oct7774736741
92682826780
101072938465
11500711605
1225b3a9569
13141397341
14a26d67bb
15642dca60
hex3ff3bde1

1072938465 has 12 divisors (see below), whose sum is σ = 1859760084. Its totient is φ = 572233824.

The previous prime is 1072938407. The next prime is 1072938467. The reversal of 1072938465 is 5648392701.

1072938465 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 350887824 + 722050641 = 18732^2 + 26871^2 .

It is not a de Polignac number, because 1072938465 - 27 = 1072938337 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 23843077 = 1072938465 / (1 + 0 + 7 + 2 + 9 + 3 + 8 + 4 + 6 + 5).

1072938465 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1072938465.

It is not an unprimeable number, because it can be changed into a prime (1072938467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11921494 + ... + 11921583.

It is an arithmetic number, because the mean of its divisors is an integer number (154980007).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1072938465 = 2145876930, but 3⋅1072938465 = 3218815395 is not.

Almost surely, 21072938465 is an apocalyptic number.

1072938465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072938465 is a deficient number, since it is larger than the sum of its proper divisors (786821619).

1072938465 is a wasteful number, since it uses less digits than its factorization.

1072938465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23843088 (or 23843085 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1072938465 is about 32755.7394207488. The cubic root of 1072938465 is about 1023.7445553343.

It can be divided in two parts, 10729 and 38465, that added together give a palindrome (49194).

The spelling of 1072938465 in words is "one billion, seventy-two million, nine hundred thirty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 23843077 71529231 119215385 214587693 357646155 1072938465