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69820020 = 223251722817
BaseRepresentation
bin1000010100101…
…01111001110100
311212101020001200
410022111321310
5120333220040
610532252500
71505313624
oct412257164
9155336050
1069820020
11364588a6
121b471130
131160792a
1493b6884
1561e2630
hex4295e74

69820020 has 72 divisors (see below), whose sum is σ = 224255304. Its totient is φ = 17522688.

The previous prime is 69820013. The next prime is 69820021. The reversal of 69820020 is 2002896.

It can be written as a sum of positive squares in 4 ways, for example, as 38415204 + 31404816 = 6198^2 + 5604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69820021) 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 23 ways as a sum of consecutive naturals, for example, 8349 + ... + 14468.

It is an arithmetic number, because the mean of its divisors is an integer number (3114657).

Almost surely, 269820020 is an apocalyptic number.

69820020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

69820020 is an abundant number, since it is smaller than the sum of its proper divisors (154435284).

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

69820020 is a wasteful number, since it uses less digits than its factorization.

69820020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22849 (or 22844 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 69820020 is about 8355.8374804684. The cubic root of 69820020 is about 411.7750130513.

The spelling of 69820020 in words is "sixty-nine million, eight hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 22817 45634 68451 91268 114085 136902 205353 228170 273804 342255 387889 410706 456340 684510 775778 821412 1026765 1163667 1369020 1551556 1939445 2053530 2327334 3491001 3878890 4107060 4654668 5818335 6982002 7757780 11636670 13964004 17455005 23273340 34910010 69820020