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1120000040 = 23561345677
BaseRepresentation
bin100001011000001…
…1101100000101000
32220001110220012222
41002300131200220
54243210000130
6303045253212
736516562145
oct10260354050
92801426188
101120000040
11525235675
12273104208
1314b064123
14a8a673cc
15684d6ce5
hex42c1d828

1120000040 has 32 divisors (see below), whose sum is σ = 2524166280. Its totient is φ = 447259392.

The previous prime is 1120000033. The next prime is 1120000093. The reversal of 1120000040 is 400000211.

It can be written as a sum of positive squares in 4 ways, for example, as 768287524 + 351712516 = 27718^2 + 18754^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1119999982 and 1120000027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1682 + ... + 47358.

Almost surely, 21120000040 is an apocalyptic number.

1120000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120000040 is an abundant number, since it is smaller than the sum of its proper divisors (1404166240).

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

1120000040 is a wasteful number, since it uses less digits than its factorization.

1120000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46301 (or 46297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1120000040 is about 33466.4016589773. The cubic root of 1120000040 is about 1038.4988327333.

Adding to 1120000040 its reverse (400000211), we get a palindrome (1520000251).

The spelling of 1120000040 in words is "one billion, one hundred twenty million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 613 1226 2452 3065 4904 6130 12260 24520 45677 91354 182708 228385 365416 456770 913540 1827080 28000001 56000002 112000004 140000005 224000008 280000010 560000020 1120000040