Search a number
-
+
1040312500 = 22573329
BaseRepresentation
bin111110000000011…
…110100010110100
32200111112100110121
4332000132202310
54112310000000
6251121301324
734531340023
oct7600364264
92614470417
101040312500
114942581a7
12250494844
131376b3036
149c2428ba
15614e5b1a
hex3e01e8b4

1040312500 has 48 divisors (see below), whose sum is σ = 2276361360. Its totient is φ = 416000000.

The previous prime is 1040312473. The next prime is 1040312503. The reversal of 1040312500 is 52130401.

It can be written as a sum of positive squares in 8 ways, for example, as 754161444 + 286151056 = 27462^2 + 16916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040312503) 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, 310836 + ... + 314164.

It is an arithmetic number, because the mean of its divisors is an integer number (47424195).

Almost surely, 21040312500 is an apocalyptic number.

1040312500 is a gapful number since it is divisible by the number (10) 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 1040312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138180680).

1040312500 is an abundant number, since it is smaller than the sum of its proper divisors (1236048860).

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

1040312500 is an frugal number, since it uses more digits than its factorization.

1040312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1040312500 is about 32253.8757361034. The cubic root of 1040312500 is about 1013.2608719635.

Adding to 1040312500 its reverse (52130401), we get a palindrome (1092442901).

The spelling of 1040312500 in words is "one billion, forty million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 3329 6250 6658 12500 13316 15625 16645 31250 33290 62500 66580 78125 83225 156250 166450 312500 332900 416125 832250 1664500 2080625 4161250 8322500 10403125 20806250 41612500 52015625 104031250 208062500 260078125 520156250 1040312500