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1040471136 = 25335920411
BaseRepresentation
bin111110000001000…
…101010001100000
32200111211102002000
4332001011101200
54112330034021
6251124524000
734532600355
oct7601052140
92614742060
101040471136
11494356401
12250550600
1313773a2c3
149c28462c
1561527b26
hex3e045460

1040471136 has 96 divisors (see below), whose sum is σ = 3086294400. Its totient is φ = 340928640.

The previous prime is 1040471099. The next prime is 1040471147. The reversal of 1040471136 is 6311740401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 40771 + ... + 61181.

It is an arithmetic number, because the mean of its divisors is an integer number (32148900).

Almost surely, 21040471136 is an apocalyptic number.

1040471136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543147200).

1040471136 is an abundant number, since it is smaller than the sum of its proper divisors (2045823264).

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

1040471136 is a wasteful number, since it uses less digits than its factorization.

1040471136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20489 (or 20475 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1040471136 is about 32256.3348196908. The cubic root of 1040471136 is about 1013.3123729890.

The spelling of 1040471136 in words is "one billion, forty million, four hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 20411 25488 40822 50976 61233 81644 122466 163288 183699 244932 326576 367398 489864 551097 653152 734796 979728 1102194 1204249 1469592 1959456 2204388 2408498 2939184 3612747 4408776 4816996 5878368 7225494 8817552 9633992 10838241 14450988 17635104 19267984 21676482 28901976 32514723 38535968 43352964 57803952 65029446 86705928 115607904 130058892 173411856 260117784 346823712 520235568 1040471136