Search a number
-
+
1045367140 = 225263353563
BaseRepresentation
bin111110010011110…
…000100101100100
32200212001011010111
4332103300211210
54120103222030
6251421502404
734622321416
oct7623604544
92625034114
101045367140
1149709a894
12252111a04
1313876294c
149cb9a9b6
1561b9362a
hex3e4f0964

1045367140 has 48 divisors (see below), whose sum is σ = 2213785728. Its totient is φ = 414639104.

The previous prime is 1045367131. The next prime is 1045367149. The reversal of 1045367140 is 417635401.

1045367140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1045367131) and next prime (1045367149).

It is not an unprimeable number, because it can be changed into a prime (1045367149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1856499 + ... + 1857061.

It is an arithmetic number, because the mean of its divisors is an integer number (46120536).

Almost surely, 21045367140 is an apocalyptic number.

1045367140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045367140 is an abundant number, since it is smaller than the sum of its proper divisors (1168418588).

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

1045367140 is a wasteful number, since it uses less digits than its factorization.

1045367140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 1045367140 is about 32332.1378816805. The cubic root of 1045367140 is about 1014.8992887043.

The spelling of 1045367140 in words is "one billion, forty-five million, three hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 263 353 526 563 706 1052 1126 1315 1412 1765 2252 2630 2815 3530 5260 5630 7060 11260 92839 148069 185678 198739 296138 371356 397478 464195 592276 740345 794956 928390 993695 1480690 1856780 1987390 2961380 3974780 52268357 104536714 209073428 261341785 522683570 1045367140