Search a number
-
+
61372080 = 2435571141
BaseRepresentation
bin1110101000011…
…1011010110000
311021111000200000
43222013122300
5111202401310
610031230000
71343440230
oct352073260
9137430600
1061372080
1131708830
1218678300
13c93a653
148217cc0
1555c44c0
hex3a876b0

61372080 has 480 divisors, whose sum is σ = 272982528. Its totient is φ = 12441600.

The previous prime is 61372079. The next prime is 61372099. The reversal of 61372080 is 8027316.

61372080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1496860 + ... + 1496900.

Almost surely, 261372080 is an apocalyptic number.

61372080 is a gapful number since it is divisible by the number (60) 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 61372080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

61372080 is an abundant number, since it is smaller than the sum of its proper divisors (211610448).

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

61372080 is a wasteful number, since it uses less digits than its factorization.

61372080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

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

The square root of 61372080 is about 7834.0334438908. The cubic root of 61372080 is about 394.4484745266.

Adding to 61372080 its reverse (8027316), we get a palindrome (69399396).

The spelling of 61372080 in words is "sixty-one million, three hundred seventy-two thousand, eighty".