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5380412700 = 223521331191233
BaseRepresentation
bin1010000001011001…
…01001010100011100
3111212222012021200110
411000230221110130
542004341201300
62245520530020
7250221516255
oct50054512434
914788167613
105380412700
112311114773
121061a80910
13679902870
14390807b2c
1521754b550
hex140b2951c

5380412700 has 288 divisors, whose sum is σ = 17470881792. Its totient is φ = 1269504000.

The previous prime is 5380412699. The next prime is 5380412771. The reversal of 5380412700 is 72140835.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 23091784 + ... + 23092016.

It is an arithmetic number, because the mean of its divisors is an integer number (60662784).

Almost surely, 25380412700 is an apocalyptic number.

5380412700 is a gapful number since it is divisible by the number (50) 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 5380412700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8735440896).

5380412700 is an abundant number, since it is smaller than the sum of its proper divisors (12090469092).

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

5380412700 is a wasteful number, since it uses less digits than its factorization.

5380412700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5380412700 is about 73351.2965120590. The cubic root of 5380412700 is about 1752.2868280525.

The spelling of 5380412700 in words is "five billion, three hundred eighty million, four hundred twelve thousand, seven hundred".