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1427680840 = 2352343151239
BaseRepresentation
bin101010100011000…
…1010111001001000
310200111102200221011
41111012022321020
510410441241330
6353400053304
750244041545
oct12506127110
93614380834
101427680840
11672985823
1233a164234
13199a20c81
14d7879bcc
158551182a
hex5518ae48

1427680840 has 128 divisors (see below), whose sum is σ = 3467059200. Its totient is φ = 527788800.

The previous prime is 1427680819. The next prime is 1427680873. The reversal of 1427680840 is 480867241.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1427680793 and 1427680802.

It is an unprimeable number.

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, 5973441 + ... + 5973679.

It is an arithmetic number, because the mean of its divisors is an integer number (27086400).

Almost surely, 21427680840 is an apocalyptic number.

1427680840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733529600).

1427680840 is an abundant number, since it is smaller than the sum of its proper divisors (2039378360).

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

1427680840 is a wasteful number, since it uses less digits than its factorization.

1427680840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 1427680840 is about 37784.6640847845. The cubic root of 1427680840 is about 1126.0137929780.

The spelling of 1427680840 in words is "one billion, four hundred twenty-seven million, six hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 115 151 172 184 215 230 239 302 344 430 460 478 604 755 860 920 956 989 1195 1208 1510 1720 1912 1978 2390 3020 3473 3956 4780 4945 5497 6040 6493 6946 7912 9560 9890 10277 10994 12986 13892 17365 19780 20554 21988 25972 27485 27784 32465 34730 36089 39560 41108 43976 51385 51944 54970 64930 69460 72178 82216 102770 109940 129860 138920 144356 149339 180445 205540 219880 236371 259720 288712 298678 360890 411080 472742 597356 721780 746695 830047 945484 1181855 1194712 1443560 1493390 1551827 1660094 1890968 2363710 2986780 3103654 3320188 4150235 4727420 5973560 6207308 6640376 7759135 8300470 9454840 12414616 15518270 16600940 31036540 33201880 35692021 62073080 71384042 142768084 178460105 285536168 356920210 713840420 1427680840