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1423376000 = 2753175233
BaseRepresentation
bin101010011010110…
…1111111010000000
310200012022222210122
41110311233322000
510403341013000
6353123515412
750162332154
oct12465577200
93605288718
101423376000
11670505502
12338828b68
13198b74727
14d7079064
1584e61085
hex54d6fe80

1423376000 has 128 divisors (see below), whose sum is σ = 3747753360. Its totient is φ = 535756800.

The previous prime is 1423375997. The next prime is 1423376041. The reversal of 1423376000 is 6733241.

It can be written as a sum of positive squares in 8 ways, for example, as 485056576 + 938319424 = 22024^2 + 30632^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269384 + ... + 274616.

Almost surely, 21423376000 is an apocalyptic number.

1423376000 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 1423376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873876680).

1423376000 is an abundant number, since it is smaller than the sum of its proper divisors (2324377360).

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

1423376000 is an equidigital number, since it uses as much as digits as its factorization.

1423376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 1423376000 is about 37727.6556388016. The cubic root of 1423376000 is about 1124.8809092044.

The spelling of 1423376000 in words is "one billion, four hundred twenty-three million, three hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 272 320 340 400 425 500 544 640 680 800 850 1000 1088 1360 1600 1700 2000 2125 2176 2720 3200 3400 4000 4250 5233 5440 6800 8000 8500 10466 10880 13600 16000 17000 20932 26165 27200 34000 41864 52330 54400 68000 83728 88961 104660 130825 136000 167456 177922 209320 261650 272000 334912 355844 418640 444805 523300 654125 669824 711688 837280 889610 1046600 1308250 1423376 1674560 1779220 2093200 2224025 2616500 2846752 3349120 3558440 4186400 4448050 5233000 5693504 7116880 8372800 8896100 10466000 11120125 11387008 14233760 16745600 17792200 20932000 22240250 28467520 35584400 41864000 44480500 56935040 71168800 83728000 88961000 142337600 177922000 284675200 355844000 711688000 1423376000