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247138080 = 2535773553
BaseRepresentation
bin11101011101100…
…00011100100000
3122020000220201020
432232300130200
51001231404310
640305005440
76060432120
oct1656603440
9566026636
10247138080
11117559552
126a923880
133c27cb67
1424b72c80
1516a6b170
hexebb0720

247138080 has 96 divisors (see below), whose sum is σ = 889709184. Its totient is φ = 56487936.

The previous prime is 247138057. The next prime is 247138081. The reversal of 247138080 is 80831742.

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

It is a super-2 number, since 2×2471380802 = 122154461172172800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247138081) 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 15 ways as a sum of consecutive naturals, for example, 33417 + ... + 40136.

It is an arithmetic number, because the mean of its divisors is an integer number (9267804).

Almost surely, 2247138080 is an apocalyptic number.

247138080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247138080 is an abundant number, since it is smaller than the sum of its proper divisors (642571104).

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

247138080 is a wasteful number, since it uses less digits than its factorization.

247138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73578 (or 73570 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 247138080 is about 15720.6259417365. The cubic root of 247138080 is about 627.5474311115.

The spelling of 247138080 in words is "two hundred forty-seven million, one hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 73553 147106 220659 294212 367765 441318 514871 588424 735530 882636 1029742 1103295 1176848 1471060 1544613 1765272 2059484 2206590 2353696 2574355 2942120 3089226 3530544 4118968 4413180 5148710 5884240 6178452 7061088 7723065 8237936 8826360 10297420 11768480 12356904 15446130 16475872 17652720 20594840 24713808 30892260 35305440 41189680 49427616 61784520 82379360 123569040 247138080