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1042312400 = 24522605781
BaseRepresentation
bin111110001000000…
…110110011010000
32200122021221210222
4332020012303100
54113312444100
6251232212212
734554336443
oct7610066320
92618257728
101042312400
114953a3808
1225109a068
13137c333cc
149c60365a
156178d485
hex3e206cd0

1042312400 has 30 divisors (see below), whose sum is σ = 2504156502. Its totient is φ = 416924800.

The previous prime is 1042312387. The next prime is 1042312409. The reversal of 1042312400 is 42132401.

It can be written as a sum of positive squares in 3 ways, for example, as 296803984 + 745508416 = 17228^2 + 27304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042312409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1302491 + ... + 1303290.

Almost surely, 21042312400 is an apocalyptic number.

1042312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042312400 is an abundant number, since it is smaller than the sum of its proper divisors (1461844102).

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

1042312400 is a wasteful number, since it uses less digits than its factorization.

1042312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605799 (or 2605788 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1042312400 is about 32284.8633263330. The cubic root of 1042312400 is about 1013.9097549579.

Adding to 1042312400 its reverse (42132401), we get a palindrome (1084444801).

The spelling of 1042312400 in words is "one billion, forty-two million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2605781 5211562 10423124 13028905 20846248 26057810 41692496 52115620 65144525 104231240 130289050 208462480 260578100 521156200 1042312400