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1012430440 = 235715112393
BaseRepresentation
bin111100010110000…
…111011001101000
32121120001210110201
4330112013121220
54033140233230
6244243521544
734042342150
oct7426073150
92546053421
101012430440
1147a543a7a
122430892b4
131319a0088
1498665760
155dd395ca
hex3c587668

1012430440 has 64 divisors (see below), whose sum is σ = 2606204160. Its totient is φ = 346744320.

The previous prime is 1012430437. The next prime is 1012430459. The reversal of 1012430440 is 440342101.

1012430440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421884 + ... + 424276.

It is an arithmetic number, because the mean of its divisors is an integer number (40721940).

Almost surely, 21012430440 is an apocalyptic number.

1012430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012430440 is an abundant number, since it is smaller than the sum of its proper divisors (1593773720).

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

1012430440 is a wasteful number, since it uses less digits than its factorization.

1012430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1012430440 is about 31818.7121046720. The cubic root of 1012430440 is about 1004.1264291616.

Adding to 1012430440 its reverse (440342101), we get a palindrome (1452772541).

The spelling of 1012430440 in words is "one billion, twelve million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1511 2393 3022 4786 6044 7555 9572 10577 11965 12088 15110 16751 19144 21154 23930 30220 33502 42308 47860 52885 60440 67004 83755 84616 95720 105770 134008 167510 211540 335020 423080 670040 3615823 7231646 14463292 18079115 25310761 28926584 36158230 50621522 72316460 101243044 126553805 144632920 202486088 253107610 506215220 1012430440