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1427740800 = 27352148723
BaseRepresentation
bin101010100011001…
…1001100010000000
310200111112202011220
41111012121202000
510411000201200
6353401235040
750244411423
oct12506314200
93614482156
101427740800
11672a16882
1233a192a80
13199a42355
14d78939ba
15855244a0
hex55199880

1427740800 has 96 divisors (see below), whose sum is σ = 4702652880. Its totient is φ = 380728320.

The previous prime is 1427740799. The next prime is 1427740813. The reversal of 1427740800 is 80477241.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64762 + ... + 83961.

Almost surely, 21427740800 is an apocalyptic number.

1427740800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1427740800 is an abundant number, since it is smaller than the sum of its proper divisors (3274912080).

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

1427740800 is a wasteful number, since it uses less digits than its factorization.

1427740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148750 (or 148733 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 1427740800 is about 37785.4575200566. The cubic root of 1427740800 is about 1126.0295562681.

The spelling of 1427740800 in words is "one billion, four hundred twenty-seven million, seven hundred forty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 148723 297446 446169 594892 743615 892338 1189784 1487230 1784676 2230845 2379568 2974460 3569352 3718075 4461690 4759136 5948920 7138704 7436150 8923380 9518272 11154225 11897840 14277408 14872300 17846760 19036544 22308450 23795680 28554816 29744600 35693520 44616900 47591360 57109632 59489200 71387040 89233800 95182720 118978400 142774080 178467600 237956800 285548160 356935200 475913600 713870400 1427740800