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1077221376 = 21133711223
BaseRepresentation
bin100000000110101…
…0001100000000000
32210001222111221000
41000031101200000
54201232041001
6254520332000
735460142050
oct10015214000
92701874830
101077221376
11503077400
12260914000
131422368ca
14a30cd560
1564886a86
hex40351800

1077221376 has 576 divisors, whose sum is σ = 4182796800. Its totient is φ = 267632640.

The previous prime is 1077221363. The next prime is 1077221401. The reversal of 1077221376 is 6731227701.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10772213762 = 2320811785822666752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1077221376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46835701 + ... + 46835723.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 21077221376 is an apocalyptic number.

1077221376 is a gapful number since it is divisible by the number (16) 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 1077221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091398400).

1077221376 is an abundant number, since it is smaller than the sum of its proper divisors (3105575424).

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

1077221376 is a wasteful number, since it uses less digits than its factorization.

1077221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

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

The square root of 1077221376 is about 32821.0508058472. The cubic root of 1077221376 is about 1025.1049271129.

The spelling of 1077221376 in words is "one billion, seventy-seven million, two hundred twenty-one thousand, three hundred seventy-six".