Search a number
-
+
3150055120 = 245177331729
BaseRepresentation
bin1011101111000010…
…0000011011010000
322010112101101021011
42323300200123100
522422403230440
61240324340304
7141030012112
oct27360403320
98115341234
103150055120
111377140043
1273ab44694
133b2802554
1421c5073b2
151368349ea
hexbbc206d0

3150055120 has 80 divisors (see below), whose sum is σ = 7861170960. Its totient is φ = 1169620992.

The previous prime is 3150055109. The next prime is 3150055123. The reversal of 3150055120 is 215500513.

It can be written as a sum of positive squares in 8 ways, for example, as 457275456 + 2692779664 = 21384^2 + 51892^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3150055091 and 3150055100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3150055123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83416 + ... + 115144.

It is an arithmetic number, because the mean of its divisors is an integer number (98264637).

Almost surely, 23150055120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3150055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930585480).

3150055120 is an abundant number, since it is smaller than the sum of its proper divisors (4711115840).

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

3150055120 is a wasteful number, since it uses less digits than its factorization.

3150055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31832 (or 31826 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 3150055120 is about 56125.3518474495. The cubic root of 3150055120 is about 1465.9057591198.

Adding to 3150055120 its reverse (215500513), we get a palindrome (3365555633).

It can be divided in two parts, 315005 and 5120, that multiplied together give a square (1612825600 = 401602).

The spelling of 3150055120 in words is "three billion, one hundred fifty million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 136 146 170 272 292 340 365 584 680 730 1168 1241 1360 1460 2482 2920 4964 5840 6205 9928 12410 19856 24820 31729 49640 63458 99280 126916 158645 253832 317290 507664 539393 634580 1078786 1269160 2157572 2316217 2538320 2696965 4315144 4632434 5393930 8630288 9264868 10787860 11581085 18529736 21575720 23162170 37059472 39375689 43151440 46324340 78751378 92648680 157502756 185297360 196878445 315005512 393756890 630011024 787513780 1575027560 3150055120