Search a number
-
+
61407360 = 2732571523
BaseRepresentation
bin1110101001000…
…0000010000000
311021112211001200
43222100002000
5111210013420
610032101200
71343645130
oct352200200
9137484050
1061407360
1131732293
1218694800
13c950721
148226ac0
1555ceb90
hex3a90080

61407360 has 192 divisors, whose sum is σ = 242498880. Its totient is φ = 14026752.

The previous prime is 61407343. The next prime is 61407361. The reversal of 61407360 is 6370416.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (61407361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39559 + ... + 41081.

It is an arithmetic number, because the mean of its divisors is an integer number (1263015).

Almost surely, 261407360 is an apocalyptic number.

61407360 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 61407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121249440).

61407360 is an abundant number, since it is smaller than the sum of its proper divisors (181091520).

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

61407360 is a wasteful number, since it uses less digits than its factorization.

61407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 61407360 is about 7836.2848340269. The cubic root of 61407360 is about 394.5240435066.

Adding to 61407360 its reverse (6370416), we get a palindrome (67777776).

The spelling of 61407360 in words is "sixty-one million, four hundred seven thousand, three hundred sixty".