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1382631320 = 235723321193
BaseRepresentation
bin101001001101001…
…0100011110011000
310120100122221121102
41102122110132120
510312423200240
6345110330532
746156113050
oct12232243630
93510587542
101382631320
1164a506414
12327059a48
131905a9c55
14d18b0560
15815b3815
hex52694798

1382631320 has 64 divisors (see below), whose sum is σ = 3570765120. Its totient is φ = 471988224.

The previous prime is 1382631253. The next prime is 1382631323. The reversal of 1382631320 is 231362831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382631323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54644 + ... + 75836.

It is an arithmetic number, because the mean of its divisors is an integer number (55793205).

Almost surely, 21382631320 is an apocalyptic number.

1382631320 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 1382631320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785382560).

1382631320 is an abundant number, since it is smaller than the sum of its proper divisors (2188133800).

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

1382631320 is a wasteful number, since it uses less digits than its factorization.

1382631320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21444 (or 21440 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1382631320 is about 37183.7507521767. The cubic root of 1382631320 is about 1114.0434515744.

The spelling of 1382631320 in words is "one billion, three hundred eighty-two million, six hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 932 1165 1631 1864 2330 3262 4660 6524 8155 9320 13048 16310 21193 32620 42386 65240 84772 105965 148351 169544 211930 296702 423860 593404 741755 847720 1186808 1483510 2967020 4937969 5934040 9875938 19751876 24689845 34565783 39503752 49379690 69131566 98759380 138263132 172828915 197518760 276526264 345657830 691315660 1382631320