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1385743720 = 235194014547
BaseRepresentation
bin101001010011000…
…1100010101101000
310120120112002000111
41102212030111220
510314222244340
6345301144104
746224425104
oct12246142550
93516462014
101385743720
11651241849
123280bb034
131911297ca
14d2080904
15819caaea
hex5298c568

1385743720 has 64 divisors (see below), whose sum is σ = 3290932800. Its totient is φ = 523699200.

The previous prime is 1385743717. The next prime is 1385743753. The reversal of 1385743720 is 273475831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 302487 + ... + 307033.

It is an arithmetic number, because the mean of its divisors is an integer number (51420825).

Almost surely, 21385743720 is an apocalyptic number.

1385743720 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 1385743720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645466400).

1385743720 is an abundant number, since it is smaller than the sum of its proper divisors (1905189080).

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

1385743720 is a wasteful number, since it uses less digits than its factorization.

1385743720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 1385743720 is about 37225.5788403619. The cubic root of 1385743720 is about 1114.8787550736.

The spelling of 1385743720 in words is "one billion, three hundred eighty-five million, seven hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 401 760 802 1604 2005 3208 4010 4547 7619 8020 9094 15238 16040 18188 22735 30476 36376 38095 45470 60952 76190 86393 90940 152380 172786 181880 304760 345572 431965 691144 863930 1727860 1823347 3455720 3646694 7293388 9116735 14586776 18233470 34643593 36466940 69287186 72933880 138574372 173217965 277148744 346435930 692871860 1385743720