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1412782140 = 2235711597173
BaseRepresentation
bin101010000110101…
…0101100000111100
310122110101202202110
41110031111200330
510343133012030
6352104454020
750003310240
oct12415254074
93573352673
101412782140
1166552a150
1233517a310
13196905783
14d58bc420
158406c1b0
hex5435583c

1412782140 has 384 divisors, whose sum is σ = 5155799040. Its totient is φ = 280627200.

The previous prime is 1412782099. The next prime is 1412782171. The reversal of 1412782140 is 412872141.

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

It is a junction number, because it is equal to n+sod(n) for n = 1412782098 and 1412782107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19353144 + ... + 19353216.

It is an arithmetic number, because the mean of its divisors is an integer number (13426560).

Almost surely, 21412782140 is an apocalyptic number.

1412782140 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 1412782140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577899520).

1412782140 is an abundant number, since it is smaller than the sum of its proper divisors (3743016900).

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

1412782140 is a wasteful number, since it uses less digits than its factorization.

1412782140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1412782140 is about 37586.9942932393. The cubic root of 1412782140 is about 1122.0832135689.

Subtracting from 1412782140 its reverse (412872141), we obtain a palindrome (999909999).

The spelling of 1412782140 in words is "one billion, four hundred twelve million, seven hundred eighty-two thousand, one hundred forty".