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1382001320 = 23574935719
BaseRepresentation
bin101001001011111…
…1010101010101000
310120022110221102002
41102113322222220
510312243020240
6345045030132
746150550240
oct12227725250
93508427362
101382001320
1164a116057
123269b5348
1319041927b
14d1788b20
15814dbd15
hex525faaa8

1382001320 has 32 divisors (see below), whose sum is σ = 3553718400. Its totient is φ = 473828928.

The previous prime is 1382001317. The next prime is 1382001323. The reversal of 1382001320 is 231002831.

It is an interprime number because it is at equal distance from previous prime (1382001317) and next prime (1382001323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1382001292 and 1382001301.

It is not an unprimeable number, because it can be changed into a prime (1382001323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2467580 + ... + 2468139.

It is an arithmetic number, because the mean of its divisors is an integer number (111053700).

Almost surely, 21382001320 is an apocalyptic number.

1382001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1382001320 is an abundant number, since it is smaller than the sum of its proper divisors (2171717080).

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

1382001320 is a wasteful number, since it uses less digits than its factorization.

1382001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935737 (or 4935733 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1382001320 is about 37175.2783446204. The cubic root of 1382001320 is about 1113.8742201505.

The spelling of 1382001320 in words is "one billion, three hundred eighty-two million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 4935719 9871438 19742876 24678595 34550033 39485752 49357190 69100066 98714380 138200132 172750165 197428760 276400264 345500330 691000660 1382001320