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3100080672 = 253213828013
BaseRepresentation
bin1011100011000111…
…0111101000100000
322000001100102012200
42320301313220200
522322110040142
61231341253200
7136552152033
oct27061675040
98001312180
103100080672
111350a07547
12726264200
133a5355980
14215a1901a
1513226264c
hexb8c77a20

3100080672 has 72 divisors (see below), whose sum is σ = 9494008524. Its totient is φ = 953869824.

The previous prime is 3100080667. The next prime is 3100080673. The reversal of 3100080672 is 2760800013.

It can be written as a sum of positive squares in 2 ways, for example, as 3096254736 + 3825936 = 55644^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×31000806722 = 19221000345815943168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3100080673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410263 + ... + 417750.

Almost surely, 23100080672 is an apocalyptic number.

3100080672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3100080672 is an abundant number, since it is smaller than the sum of its proper divisors (6393927852).

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

3100080672 is a wasteful number, since it uses less digits than its factorization.

3100080672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828042 (or 828031 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3100080672 is about 55678.3680795334. The cubic root of 3100080672 is about 1458.1123838699.

Adding to 3100080672 its reverse (2760800013), we get a palindrome (5860880685).

The spelling of 3100080672 in words is "three billion, one hundred million, eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 828013 1656026 2484039 3312052 4968078 6624104 7452117 9936156 10764169 13248208 14904234 19872312 21528338 26496416 29808468 32292507 39744624 43056676 59616936 64585014 79489248 86113352 96877521 119233872 129170028 172226704 193755042 238467744 258340056 344453408 387510084 516680112 775020168 1033360224 1550040336 3100080672