1283926140 has 480 divisors, whose sum is σ = 4976294400. Its totient is φ = 270604800.

The previous prime is 1283926129. The next prime is 1283926141. The reversal of 1283926140 is 416293821.

1283926140 = T₅₆ + T₅₇ + ... + T₁₉₇₄.

1283926140 is a `hidden beast` number, since 1 + 2 + 8 + 39 + 2 + 614 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1283926095 and 1283926104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283926141) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12712090 + ... + 12712190.

It is an arithmetic number, because the mean of its divisors is an integer number (10367280).

Almost surely, 2^1283926140 is an apocalyptic number.

1283926140 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 1283926140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488147200).

1283926140 is an abundant number, since it is smaller than the sum of its proper divisors (3692368260).

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

1283926140 is a wasteful number, since it uses less digits than its factorization.

1283926140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1283926140 is about 35831.9151037172. The cubic root of 1283926140 is about 1086.8760368320.

The spelling of 1283926140 in words is "one billion, two hundred eighty-three million, nine hundred twenty-six thousand, one hundred forty".