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1042057540 = 225127740801
BaseRepresentation
bin111110000111001…
…000100101000100
32200121211000012201
4332013020211010
54113231320130
6251222524244
734552225426
oct7607104504
92617730181
101042057540
1149523a287
12250b96684
13137b743c4
149c578816
156173cbca
hex3e1c8944

1042057540 has 24 divisors (see below), whose sum is σ = 2190088152. Its totient is φ = 416486400.

The previous prime is 1042057537. The next prime is 1042057547. The reversal of 1042057540 is 457502401.

It can be written as a sum of positive squares in 4 ways, for example, as 427414276 + 614643264 = 20674^2 + 24792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1042057499 and 1042057508.

It is not an unprimeable number, because it can be changed into a prime (1042057547) 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, 5140 + ... + 45940.

It is an arithmetic number, because the mean of its divisors is an integer number (91253673).

Almost surely, 21042057540 is an apocalyptic number.

1042057540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042057540 is an abundant number, since it is smaller than the sum of its proper divisors (1148030612).

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

1042057540 is a wasteful number, since it uses less digits than its factorization.

1042057540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42087 (or 42085 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 1042057540 is about 32280.9160340905. The cubic root of 1042057540 is about 1013.8271098366.

Adding to 1042057540 its reverse (457502401), we get a palindrome (1499559941).

The spelling of 1042057540 in words is "one billion, forty-two million, fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1277 2554 5108 6385 12770 25540 40801 81602 163204 204005 408010 816020 52102877 104205754 208411508 260514385 521028770 1042057540