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1075630464 = 2732933707
BaseRepresentation
bin100000000011100…
…1101000110000000
32202221222200121100
41000013031012000
54200330133324
6254422254400
735440464606
oct10007150600
92687880540
101075630464
115021900a7
12260287400
13141aca73c
14a2bd7876
15646704c9
hex401cd180

1075630464 has 48 divisors (see below), whose sum is σ = 3095242020. Its totient is φ = 358543104.

The previous prime is 1075630459. The next prime is 1075630469. The reversal of 1075630464 is 4640365701.

It is a happy number.

1075630464 is a `hidden beast` number, since 10 + 7 + 5 + 630 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1075630459) and next prime (1075630469).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075630469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 465702 + ... + 468005.

Almost surely, 21075630464 is an apocalyptic number.

It is an amenable number.

1075630464 is an abundant number, since it is smaller than the sum of its proper divisors (2019611556).

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

1075630464 is an equidigital number, since it uses as much as digits as its factorization.

1075630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933727 (or 933712 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1075630464 is about 32796.8056981164. The cubic root of 1075630464 is about 1024.6000308197.

The spelling of 1075630464 in words is "one billion, seventy-five million, six hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 933707 1867414 2801121 3734828 5602242 7469656 8403363 11204484 14939312 16806726 22408968 29878624 33613452 44817936 59757248 67226904 89635872 119514496 134453808 179271744 268907616 358543488 537815232 1075630464