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1381418280 = 23335113312
BaseRepresentation
bin101001001010110…
…1100010100101000
310120021101022122000
41102111230110220
510312120341110
6345024331000
746142601354
oct12225542450
93507338560
101381418280
11649858000
12326773a60
13190273a88
14d1676464
15814241c0
hex5256c528

1381418280 has 384 divisors, whose sum is σ = 5233507200. Its totient is φ = 324086400.

The previous prime is 1381418231. The next prime is 1381418281. The reversal of 1381418280 is 828141831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381418281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44561865 + ... + 44561895.

It is an arithmetic number, because the mean of its divisors is an integer number (13628925).

Almost surely, 21381418280 is an apocalyptic number.

1381418280 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 1381418280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616753600).

1381418280 is an abundant number, since it is smaller than the sum of its proper divisors (3852088920).

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

1381418280 is a wasteful number, since it uses less digits than its factorization.

1381418280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1381418280 is about 37167.4357469008. The cubic root of 1381418280 is about 1113.7175573540.

The spelling of 1381418280 in words is "one billion, three hundred eighty-one million, four hundred eighteen thousand, two hundred eighty".