Search a number
-
+
61250000 = 245772
BaseRepresentation
bin1110100110100…
…1100111010000
311021020211012112
43221221213100
5111140000000
610024444452
71342421300
oct351514720
9137224175
1061250000
1131635039
1218619728
13c8c6c06
1481c5600
15559d235
hex3a699d0

61250000 has 120 divisors (see below), whose sum is σ = 172558152. Its totient is φ = 21000000.

The previous prime is 61249999. The next prime is 61250003. The reversal of 61250000 is 5216.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60590656 + 659344 = 7784^2 + 812^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61250003) 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 23 ways as a sum of consecutive naturals, for example, 8749997 + ... + 8750003.

Almost surely, 261250000 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 61250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86279076).

61250000 is an abundant number, since it is smaller than the sum of its proper divisors (111308152).

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

61250000 is an frugal number, since it uses more digits than its factorization.

61250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 61250000 is about 7826.2379212493. The cubic root of 61250000 is about 394.1867581553.

Adding to 61250000 its reverse (5216), we get a palindrome (61255216).

The spelling of 61250000 in words is "sixty-one million, two hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3125 3500 3920 4375 4900 5000 6125 6250 7000 8750 9800 10000 12250 12500 14000 15625 17500 19600 21875 24500 25000 30625 31250 35000 43750 49000 50000 61250 62500 70000 78125 87500 98000 109375 122500 125000 153125 156250 175000 218750 245000 250000 306250 312500 350000 437500 490000 546875 612500 625000 765625 875000 1093750 1225000 1250000 1531250 1750000 2187500 2450000 3062500 3828125 4375000 6125000 7656250 8750000 12250000 15312500 30625000 61250000