Search a number
-
+
1381683420 = 2235513191151
BaseRepresentation
bin101001001011010…
…1101000011011100
310120021212210100000
41102112231003130
510312202332140
6345034134300
746145054355
oct12226550334
93507783300
101381683420
11649a19227
12326881390
13190337670
14d1704d2c
1581477a30
hex525ad0dc

1381683420 has 288 divisors, whose sum is σ = 4931297280. Its totient is φ = 321926400.

The previous prime is 1381683409. The next prime is 1381683451. The reversal of 1381683420 is 243861831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1199845 + ... + 1200995.

It is an arithmetic number, because the mean of its divisors is an integer number (17122560).

Almost surely, 21381683420 is an apocalyptic number.

1381683420 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 1381683420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465648640).

1381683420 is an abundant number, since it is smaller than the sum of its proper divisors (3549613860).

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

1381683420 is a wasteful number, since it uses less digits than its factorization.

1381683420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1381683420 is about 37171.0024077909. The cubic root of 1381683420 is about 1113.7888059125.

The spelling of 1381683420 in words is "one billion, three hundred eighty-one million, six hundred eighty-three thousand, four hundred twenty".