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1426319360 = 2115197331
BaseRepresentation
bin101010100000011…
…1110100000000000
310200101212112022222
41111000332200000
510410114204420
6353310550212
750226341324
oct12500764000
93611775288
101426319360
11672135934
12339808368
1319966536b
14d7603984
1585343225
hex5503e800

1426319360 has 96 divisors (see below), whose sum is σ = 3602944800. Its totient is φ = 540426240.

The previous prime is 1426319359. The next prime is 1426319371. The reversal of 1426319360 is 639136241.

It is a happy number.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 1426319360.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190895 + ... + 198225.

It is an arithmetic number, because the mean of its divisors is an integer number (37530675).

Almost surely, 21426319360 is an apocalyptic number.

1426319360 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 1426319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801472400).

1426319360 is an abundant number, since it is smaller than the sum of its proper divisors (2176625440).

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

1426319360 is an equidigital number, since it uses as much as digits as its factorization.

1426319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 1426319360 is about 37766.6434833703. The cubic root of 1426319360 is about 1125.6557454383.

The spelling of 1426319360 in words is "one billion, four hundred twenty-six million, three hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1216 1280 1520 2048 2432 2560 3040 4864 5120 6080 7331 9728 10240 12160 14662 19456 24320 29324 36655 38912 48640 58648 73310 97280 117296 139289 146620 194560 234592 278578 293240 469184 557156 586480 696445 938368 1114312 1172960 1392890 1876736 2228624 2345920 2785780 3753472 4457248 4691840 5571560 7506944 8914496 9383680 11143120 15013888 17828992 18767360 22286240 35657984 37534720 44572480 71315968 75069440 89144960 142631936 178289920 285263872 356579840 713159680 1426319360