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1036045242 = 23429220529
BaseRepresentation
bin111101110000001…
…100101110111010
32200012111112220000
4331300030232322
54110211421432
6250450013430
734450145031
oct7560145672
92605445800
101036045242
11491903141
1224ab77276
1313684a92b
149b851718
1560e5157c
hex3dc0cbba

1036045242 has 40 divisors (see below), whose sum is σ = 2401571700. Its totient is φ = 333438336.

The previous prime is 1036045183. The next prime is 1036045249. The reversal of 1036045242 is 2425406301.

1036045242 is a `hidden beast` number, since 1 + 0 + 3 + 604 + 52 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 980378721 + 55666521 = 31311^2 + 7461^2 .

It is a super-3 number, since 3×10360452423 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1036045249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105567 + ... + 114962.

Almost surely, 21036045242 is an apocalyptic number.

1036045242 is an abundant number, since it is smaller than the sum of its proper divisors (1365526458).

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

1036045242 is a wasteful number, since it uses less digits than its factorization.

1036045242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220572 (or 220563 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1036045242 is about 32187.6566714634. The cubic root of 1036045242 is about 1011.8735416931.

The spelling of 1036045242 in words is "one billion, thirty-six million, forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 220529 441058 661587 1323174 1984761 3969522 5954283 6395341 11908566 12790682 17862849 19186023 35725698 38372046 57558069 115116138 172674207 345348414 518022621 1036045242