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1382881120 = 25515755051
BaseRepresentation
bin101001001101101…
…0001011101100000
310120101010122021021
41102123101131200
510313004143440
6345115535224
746161203245
oct12233213540
93511118237
101382881120
1164a667065
1232715a514
1319066686a
14d19375cc
158161284a
hex526d1760

1382881120 has 48 divisors (see below), whose sum is σ = 3287925648. Its totient is φ = 549619200.

The previous prime is 1382881111. The next prime is 1382881217. The reversal of 1382881120 is 211882831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2406 + ... + 52645.

It is an arithmetic number, because the mean of its divisors is an integer number (68498451).

Almost surely, 21382881120 is an apocalyptic number.

1382881120 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 1382881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643962824).

1382881120 is an abundant number, since it is smaller than the sum of its proper divisors (1905044528).

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

1382881120 is a wasteful number, since it uses less digits than its factorization.

1382881120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55223 (or 55215 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 1382881120 is about 37187.1095945894. The cubic root of 1382881120 is about 1114.1105389443.

The spelling of 1382881120 in words is "one billion, three hundred eighty-two million, eight hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12560 25120 55051 110102 220204 275255 440408 550510 880816 1101020 1761632 2202040 4404080 8643007 8808160 17286014 34572028 43215035 69144056 86430070 138288112 172860140 276576224 345720280 691440560 1382881120