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1714645010 = 2513294111093
BaseRepresentation
bin110011000110011…
…0110100000010010
311102111101222202202
41212030312200102
512002422120020
6442050443202
760330146021
oct14614664022
94374358682
101714645010
117aa9661a1
123ba293502
13214306460
14123a188b8
15a07e7e75
hex66336812

1714645010 has 64 divisors (see below), whose sum is σ = 3522566880. Its totient is φ = 596305920.

The previous prime is 1714644989. The next prime is 1714645013. The reversal of 1714645010 is 105464171.

It can be written as a sum of positive squares in 16 ways, for example, as 2588881 + 1712056129 = 1609^2 + 41377^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1714645013) 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 31 ways as a sum of consecutive naturals, for example, 149024 + ... + 160116.

It is the magic constant of a 1508 × 1508 magic square.

Almost surely, 21714645010 is an apocalyptic number.

1714645010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1714645010 is an abundant number, since it is smaller than the sum of its proper divisors (1807921870).

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

1714645010 is a wasteful number, since it uses less digits than its factorization.

1714645010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11183.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 1714645010 is about 41408.2722411839. The cubic root of 1714645010 is about 1196.9005686262.

The spelling of 1714645010 in words is "one billion, seven hundred fourteen million, six hundred forty-five thousand, ten".

Divisors: 1 2 5 10 13 26 29 41 58 65 82 130 145 205 290 377 410 533 754 1066 1189 1885 2378 2665 3770 5330 5945 11093 11890 15457 22186 30914 55465 77285 110930 144209 154570 288418 321697 454813 643394 721045 909626 1442090 1608485 2274065 3216970 4182061 4548130 5912569 8364122 11825138 13189577 20910305 26379154 29562845 41820610 59125690 65947885 131895770 171464501 342929002 857322505 1714645010