Search a number
-
+
1227968784 = 243271997661
BaseRepresentation
bin100100100110001…
…0101000100010000
310011120122021111100
41021030111010100
510003330000114
6321503344400
742300363630
oct11114250420
93146567440
101227968784
1158017a139
122a32b2100
13167537a63
14b91306c0
1572c12909
hex49315110

1227968784 has 240 divisors, whose sum is σ = 4183204480. Its totient is φ = 328458240.

The previous prime is 1227968783. The next prime is 1227968849. The reversal of 1227968784 is 4878697221.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1227968784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1227968783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1857414 + ... + 1858074.

Almost surely, 21227968784 is an apocalyptic number.

1227968784 is a gapful number since it is divisible by the number (14) 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 1227968784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091602240).

1227968784 is an abundant number, since it is smaller than the sum of its proper divisors (2955235696).

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

1227968784 is a wasteful number, since it uses less digits than its factorization.

1227968784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1227968784 is about 35042.3855352343. The cubic root of 1227968784 is about 1070.8511537712.

The spelling of 1227968784 in words is "one billion, two hundred twenty-seven million, nine hundred sixty-eight thousand, seven hundred eighty-four".