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1382440960 = 213533751
BaseRepresentation
bin101001001100110…
…0110000000000000
310120100022021111001
41102121212000000
510312401102320
6345102301344
746154361055
oct12231460000
93510267431
101382440960
1164a39639a
12326b87854
13190541404
14d186102c
158157720a
hex52666000

1382440960 has 56 divisors (see below), whose sum is σ = 3317754096. Its totient is φ = 552960000.

The previous prime is 1382440957. The next prime is 1382440981. The reversal of 1382440960 is 690442831.

It is a super-2 number, since 2×13824409602 = 3822286015771443200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24085 + ... + 57835.

Almost surely, 21382440960 is an apocalyptic number.

1382440960 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 1382440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658877048).

1382440960 is an abundant number, since it is smaller than the sum of its proper divisors (1935313136).

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

1382440960 is an frugal number, since it uses more digits than its factorization.

1382440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33782 (or 33758 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 1382440960 is about 37181.1909438092. The cubic root of 1382440960 is about 1113.9923222430.

The spelling of 1382440960 in words is "one billion, three hundred eighty-two million, four hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 20480 33751 40960 67502 135004 168755 270008 337510 540016 675020 1080032 1350040 2160064 2700080 4320128 5400160 8640256 10800320 17280512 21600640 34561024 43201280 69122048 86402560 138244096 172805120 276488192 345610240 691220480 1382440960