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1024200040 = 23528191121
BaseRepresentation
bin111101000011000…
…000110101101000
32122101012202022211
4331003000311220
54044143400130
6245344054504
734244361643
oct7503006550
92571182284
101024200040
11486152716
12247004434
13134261236
149a04aa5a
155edb1a2a
hex3d0c0d68

1024200040 has 32 divisors (see below), whose sum is σ = 2312676360. Its totient is φ = 408217600.

The previous prime is 1024200017. The next prime is 1024200043. The reversal of 1024200040 is 400024201.

It can be written as a sum of positive squares in 4 ways, for example, as 985834404 + 38365636 = 31398^2 + 6194^2 .

It is not an unprimeable number, because it can be changed into a prime (1024200043) 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 7 ways as a sum of consecutive naturals, for example, 34321 + ... + 56800.

Almost surely, 21024200040 is an apocalyptic number.

1024200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024200040 is an abundant number, since it is smaller than the sum of its proper divisors (1288476320).

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

1024200040 is a wasteful number, since it uses less digits than its factorization.

1024200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91413 (or 91409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1024200040 is about 32003.1254723660. The cubic root of 1024200040 is about 1008.0024696547.

Adding to 1024200040 its reverse (400024201), we get a palindrome (1424224241).

The spelling of 1024200040 in words is "one billion, twenty-four million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 281 562 1124 1405 2248 2810 5620 11240 91121 182242 364484 455605 728968 911210 1822420 3644840 25605001 51210002 102420004 128025005 204840008 256050010 512100020 1024200040