Search a number
-
+
1077300200 = 235217316853
BaseRepresentation
bin100000000110110…
…0100101111101000
32210002010112001102
41000031210233220
54201242101300
6254522140532
735460620624
oct10015445750
92702115042
101077300200
11503120649
12260951748
13142263752
14a3110184
15648a00d5
hex40364be8

1077300200 has 48 divisors (see below), whose sum is σ = 2652067980. Its totient is φ = 405570560.

The previous prime is 1077300193. The next prime is 1077300227. The reversal of 1077300200 is 20037701.

It can be written as a sum of positive squares in 6 ways, for example, as 203861284 + 873438916 = 14278^2 + 29554^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 155027 + ... + 161826.

Almost surely, 21077300200 is an apocalyptic number.

1077300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077300200 is an abundant number, since it is smaller than the sum of its proper divisors (1574767780).

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

1077300200 is a wasteful number, since it uses less digits than its factorization.

1077300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316886 (or 316877 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 1077300200 is about 32822.2515985726. The cubic root of 1077300200 is about 1025.1299299897.

Adding to 1077300200 its reverse (20037701), we get a palindrome (1097337901).

The spelling of 1077300200 in words is "one billion, seventy-seven million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 316853 633706 1267412 1584265 2534824 3168530 5386501 6337060 7921325 10773002 12674120 15842650 21546004 26932505 31685300 43092008 53865010 63370600 107730020 134662525 215460040 269325050 538650100 1077300200