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2029354080 = 253513325217
BaseRepresentation
bin111100011110101…
…0111110001100000
312020102120212110020
41320331113301200
513124003312310
6533212033440
7101201140125
oct17075276140
95212525406
102029354080
11951576836
12487762880
13264584340
1415373a74c
15bd260170
hex78f57c60

2029354080 has 96 divisors (see below), whose sum is σ = 6884214624. Its totient is φ = 499531776.

The previous prime is 2029354069. The next prime is 2029354087. The reversal of 2029354080 is 804539202.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029354087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156369 + ... + 168848.

It is an arithmetic number, because the mean of its divisors is an integer number (71710569).

Almost surely, 22029354080 is an apocalyptic number.

2029354080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2029354080 is an abundant number, since it is smaller than the sum of its proper divisors (4854860544).

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

2029354080 is a wasteful number, since it uses less digits than its factorization.

2029354080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325248 (or 325240 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2029354080 is about 45048.3526890829. The cubic root of 2029354080 is about 1266.0551076741.

The spelling of 2029354080 in words is "two billion, twenty-nine million, three hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 325217 650434 975651 1300868 1626085 1951302 2601736 3252170 3902604 4227821 4878255 5203472 6504340 7805208 8455642 9756510 10406944 12683463 13008680 15610416 16911284 19513020 21139105 25366926 26017360 31220832 33822568 39026040 42278210 50733852 52034720 63417315 67645136 78052080 84556420 101467704 126834630 135290272 156104160 169112840 202935408 253669260 338225680 405870816 507338520 676451360 1014677040 2029354080