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1042305540 = 223537653719
BaseRepresentation
bin111110001000000…
…101001000000100
32200122021121101220
4332020011020010
54113312234130
6251232120340
734554310443
oct7610051004
92618247356
101042305540
11495399641
122510960b0
13137c30253
149c600d5a
156178b410
hex3e205204

1042305540 has 96 divisors (see below), whose sum is σ = 3006097920. Its totient is φ = 269646336.

The previous prime is 1042305499. The next prime is 1042305541. The reversal of 1042305540 is 455032401.

It is a self number, because there is not a number n which added to its sum of digits gives 1042305540.

It is not an unprimeable number, because it can be changed into a prime (1042305541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1449301 + ... + 1450019.

It is an arithmetic number, because the mean of its divisors is an integer number (31313520).

Almost surely, 21042305540 is an apocalyptic number.

1042305540 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 1042305540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503048960).

1042305540 is an abundant number, since it is smaller than the sum of its proper divisors (1963792380).

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

1042305540 is a wasteful number, since it uses less digits than its factorization.

1042305540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1042305540 is about 32284.7570844199. The cubic root of 1042305540 is about 1013.9075305972.

Adding to 1042305540 its reverse (455032401), we get a palindrome (1497337941).

The spelling of 1042305540 in words is "one billion, forty-two million, three hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 653 719 740 1110 1306 1438 1959 2157 2220 2612 2876 3265 3595 3918 4314 6530 7190 7836 8628 9795 10785 13060 14380 19590 21570 24161 26603 39180 43140 48322 53206 72483 79809 96644 106412 120805 133015 144966 159618 241610 266030 289932 319236 362415 399045 469507 483220 532060 724830 798090 939014 1408521 1449660 1596180 1878028 2347535 2817042 4695070 5634084 7042605 9390140 14085210 17371759 28170420 34743518 52115277 69487036 86858795 104230554 173717590 208461108 260576385 347435180 521152770 1042305540