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1368285408 = 25327296959
BaseRepresentation
bin101000110001110…
…0110000011100000
310112100200002201100
41101203212003200
510300240113113
6343435034400
745623143200
oct12143460340
93470602640
101368285408
116423a8096
1232229ba00
1318a626249
14cda18400
15801ccd73
hex518e60e0

1368285408 has 108 divisors (see below), whose sum is σ = 4526383680. Its totient is φ = 390934656.

The previous prime is 1368285389. The next prime is 1368285431. The reversal of 1368285408 is 8045828631.

1368285408 is a `hidden beast` number, since 1 + 368 + 285 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34368 + ... + 62591.

It is an arithmetic number, because the mean of its divisors is an integer number (41910960).

Almost surely, 21368285408 is an apocalyptic number.

1368285408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1368285408 is an abundant number, since it is smaller than the sum of its proper divisors (3158098272).

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

1368285408 is a wasteful number, since it uses less digits than its factorization.

1368285408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96989 (or 96971 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1368285408 is about 36990.3420908756. The cubic root of 1368285408 is about 1110.1770158402.

The spelling of 1368285408 in words is "one billion, three hundred sixty-eight million, two hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 96959 193918 290877 387836 581754 678713 775672 872631 1163508 1357426 1551344 1745262 2036139 2327016 2714852 3102688 3490524 4072278 4654032 4750991 5429704 6108417 6981048 8144556 9308064 9501982 10859408 12216834 13962096 14252973 16289112 19003964 21718816 24433668 27924192 28505946 32578224 38007928 42758919 48867336 57011892 65156448 76015856 85517838 97734672 114023784 152031712 171035676 195469344 228047568 342071352 456095136 684142704 1368285408