Search a number
-
+
1012276540 = 2251110145557
BaseRepresentation
bin111100010101100…
…001110100111100
32121112202222100201
4330111201310330
54033120322130
6244240333244
734041131362
oct7425416474
92545688321
101012276540
1147a449390
12243014224
13131948002
1498625632
155dd08bca
hex3c561d3c

1012276540 has 48 divisors (see below), whose sum is σ = 2342045664. Its totient is φ = 364448000.

The previous prime is 1012276537. The next prime is 1012276541. The reversal of 1012276540 is 456722101.

It is a junction number, because it is equal to n+sod(n) for n = 1012276499 and 1012276508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012276541) 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, 559 + ... + 44998.

It is an arithmetic number, because the mean of its divisors is an integer number (48792618).

Almost surely, 21012276540 is an apocalyptic number.

1012276540 is a gapful number since it is divisible by the number (10) 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 1012276540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171022832).

1012276540 is an abundant number, since it is smaller than the sum of its proper divisors (1329769124).

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

1012276540 is a wasteful number, since it uses less digits than its factorization.

1012276540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45678 (or 45676 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1012276540 is about 31816.2936244937. The cubic root of 1012276540 is about 1004.0755473487.

Adding to 1012276540 its reverse (456722101), we get a palindrome (1468998641).

The spelling of 1012276540 in words is "one billion, twelve million, two hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 45557 91114 182228 227785 455570 501127 911140 1002254 2004508 2505635 4601257 5011270 9202514 10022540 18405028 23006285 46012570 50613827 92025140 101227654 202455308 253069135 506138270 1012276540