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1386103400 = 235211341127
BaseRepresentation
bin101001010011110…
…0100001001101000
310120121012100101222
41102213210021220
510314320302100
6345313001212
746230453533
oct12247441150
93517170358
101386103400
11651468000
12328253208
13191224436
14d2135a1a
1581a4c485
hex529e4268

1386103400 has 192 divisors, whose sum is σ = 3659765760. Its totient is φ = 487872000.

The previous prime is 1386103399. The next prime is 1386103421. The reversal of 1386103400 is 43016831.

It is a self number, because there is not a number n which added to its sum of digits gives 1386103400.

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 47 ways as a sum of consecutive naturals, for example, 10914137 + ... + 10914263.

It is an arithmetic number, because the mean of its divisors is an integer number (19061280).

Almost surely, 21386103400 is an apocalyptic number.

1386103400 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 1386103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829882880).

1386103400 is an abundant number, since it is smaller than the sum of its proper divisors (2273662360).

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

1386103400 is a wasteful number, since it uses less digits than its factorization.

1386103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1386103400 is about 37230.4096136478. The cubic root of 1386103400 is about 1114.9752050631.

The spelling of 1386103400 in words is "one billion, three hundred eighty-six million, one hundred three thousand, four hundred".