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1381223040 = 27355989137
BaseRepresentation
bin101001001010011…
…1100101010000000
310120021000101210220
41102110330222000
510312043114130
6345020223040
746141126221
oct12224745200
93507011726
101381223040
1164973434a
1232669aa80
13190205c52
14d1625248
15813d6410
hex5253ca80

1381223040 has 256 divisors, whose sum is σ = 4560624000. Its totient is φ = 355401728.

The previous prime is 1381223029. The next prime is 1381223087. The reversal of 1381223040 is 403221831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1381223040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10081852 + ... + 10081988.

Almost surely, 21381223040 is an apocalyptic number.

1381223040 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 1381223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280312000).

1381223040 is an abundant number, since it is smaller than the sum of its proper divisors (3179400960).

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

1381223040 is a wasteful number, since it uses less digits than its factorization.

1381223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1381223040 is about 37164.8091613559. The cubic root of 1381223040 is about 1113.6650865314.

Adding to 1381223040 its reverse (403221831), we get a palindrome (1784444871).

The spelling of 1381223040 in words is "one billion, three hundred eighty-one million, two hundred twenty-three thousand, forty".