Search a number
-
+
63740040 = 23357132449
BaseRepresentation
bin1111001100100…
…1100010001000
311102221022220020
43303021202020
5112304140130
610154100440
71402532010
oct363114210
9142838806
1063740040
1132a85921
121941a720
1310289400
148672c40
1558e0e10
hex3cc9888

63740040 has 192 divisors, whose sum is σ = 237168000. Its totient is φ = 13418496.

The previous prime is 63740029. The next prime is 63740077. The reversal of 63740040 is 4004736.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141736 + ... + 142184.

It is an arithmetic number, because the mean of its divisors is an integer number (1235250).

Almost surely, 263740040 is an apocalyptic number.

63740040 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 63740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118584000).

63740040 is an abundant number, since it is smaller than the sum of its proper divisors (173427960).

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

63740040 is a wasteful number, since it uses less digits than its factorization.

63740040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 63740040 is about 7983.7359675781. The cubic root of 63740040 is about 399.4576817262.

Adding to 63740040 its reverse (4004736), we get a palindrome (67744776).

The spelling of 63740040 in words is "sixty-three million, seven hundred forty thousand, forty".