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1382283630 = 235572131947
BaseRepresentation
bin101001001100011…
…1111100101101110
310120100000021200000
41102120333211232
510312331034010
6345055045130
746153134300
oct12230774556
93510007600
101382283630
1164a299172
12326b107a6
131904b7910
14d181d970
15815457c0
hex5263f96e

1382283630 has 576 divisors, whose sum is σ = 5019356160. Its totient is φ = 270418176.

The previous prime is 1382283541. The next prime is 1382283713. The reversal of 1382283630 is 363822831.

1382283630 is a `hidden beast` number, since 13 + 8 + 2 + 2 + 8 + 3 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29410267 + ... + 29410313.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 21382283630 is an apocalyptic number.

1382283630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382283630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509678080).

1382283630 is an abundant number, since it is smaller than the sum of its proper divisors (3637072530).

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

1382283630 is a wasteful number, since it uses less digits than its factorization.

1382283630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1382283630 is about 37179.0751633227. The cubic root of 1382283630 is about 1113.9500609901.

The spelling of 1382283630 in words is "one billion, three hundred eighty-two million, two hundred eighty-three thousand, six hundred thirty".