Search a number
-
+
1077330780 = 22365193889
BaseRepresentation
bin100000000110110…
…1100001101011100
32210002012002000000
41000031230031130
54201244041110
6254522534300
735461106031
oct10015541534
92702162000
101077330780
11503141619
12260967390
13142274646
14a311b388
15648a91c0
hex4036c35c

1077330780 has 168 divisors, whose sum is σ = 3571486800. Its totient is φ = 272097792.

The previous prime is 1077330767. The next prime is 1077330781. The reversal of 1077330780 is 870337701.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077330781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 275076 + ... + 278964.

It is an arithmetic number, because the mean of its divisors is an integer number (21258850).

Almost surely, 21077330780 is an apocalyptic number.

1077330780 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 1077330780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785743400).

1077330780 is an abundant number, since it is smaller than the sum of its proper divisors (2494156020).

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

1077330780 is a wasteful number, since it uses less digits than its factorization.

1077330780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 1077330780 is about 32822.7174377747. The cubic root of 1077330780 is about 1025.1396296001.

The spelling of 1077330780 in words is "one billion, seventy-seven million, three hundred thirty thousand, seven hundred eighty".