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1630745460 = 223451006633
BaseRepresentation
bin110000100110011…
…0011001101110100
311012122112110020000
41201030303031310
511314432323320
6425452311300
755261051641
oct14114631564
94178473200
101630745460
11767571223
12396172530
131ccb0c156
14116818dc8
1598273c90
hex61333374

1630745460 has 60 divisors (see below), whose sum is σ = 5115713988. Its totient is φ = 434865024.

The previous prime is 1630745453. The next prime is 1630745461. The reversal of 1630745460 is 645470361.

It is a happy number.

1630745460 is a `hidden beast` number, since 16 + 30 + 74 + 546 + 0 = 666.

1630745460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 555167844 + 1075577616 = 23562^2 + 32796^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×16307454602 = 5318661510621223200, which contains 22 as substring.

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 (1630745461) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 501697 + ... + 504936.

Almost surely, 21630745460 is an apocalyptic number.

1630745460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1630745460 is an abundant number, since it is smaller than the sum of its proper divisors (3484968528).

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

1630745460 is a wasteful number, since it uses less digits than its factorization.

1630745460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006654 (or 1006643 counting only the distinct ones).

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

The square root of 1630745460 is about 40382.4895220688. The cubic root of 1630745460 is about 1177.0513037471.

The spelling of 1630745460 in words is "one billion, six hundred thirty million, seven hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1006633 2013266 3019899 4026532 5033165 6039798 9059697 10066330 12079596 15099495 18119394 20132660 27179091 30198990 36238788 45298485 54358182 60397980 81537273 90596970 108716364 135895455 163074546 181193940 271790910 326149092 407686365 543581820 815372730 1630745460