Search a number
-
+
103273768 = 23135771721
BaseRepresentation
bin1100010011111…
…01010100101000
321012022211222101
412021331110220
5202414230033
614125303144
72362545463
oct611752450
9235284871
10103273768
1153328124
122a704ab4
131851b950
14da042da
1590ee97d
hex627d528

103273768 has 32 divisors (see below), whose sum is σ = 209016360. Its totient is φ = 47554560.

The previous prime is 103273763. The next prime is 103273769. The reversal of 103273768 is 867372301.

It can be written as a sum of positive squares in 4 ways, for example, as 101969604 + 1304164 = 10098^2 + 1142^2 .

It is not an unprimeable number, because it can be changed into a prime (103273763) 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 7 ways as a sum of consecutive naturals, for example, 59148 + ... + 60868.

Almost surely, 2103273768 is an apocalyptic number.

It is an amenable number.

103273768 is an abundant number, since it is smaller than the sum of its proper divisors (105742592).

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

103273768 is a wasteful number, since it uses less digits than its factorization.

103273768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 103273768 is about 10162.3701959730. The cubic root of 103273768 is about 469.1697550171.

The spelling of 103273768 in words is "one hundred three million, two hundred seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 577 1154 1721 2308 3442 4616 6884 7501 13768 15002 22373 30004 44746 60008 89492 178984 993017 1986034 3972068 7944136 12909221 25818442 51636884 103273768