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64114050 = 235272111361
BaseRepresentation
bin1111010010010…
…0110110000010
311110122022221110
43310210312002
5112403122200
610210104150
71405650300
oct364446602
9143568843
1064114050
1133210920
121957b056
131038a710
14872d270
155966b50
hex3d24d82

64114050 has 288 divisors, whose sum is σ = 220860864. Its totient is φ = 12096000.

The previous prime is 64114049. The next prime is 64114051. The reversal of 64114050 is 5041146.

It is an interprime number because it is at equal distance from previous prime (64114049) and next prime (64114051).

It is a super-2 number, since 2×641140502 = 8221222814805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64114051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1051020 + ... + 1051080.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 264114050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64114050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110430432).

64114050 is an abundant number, since it is smaller than the sum of its proper divisors (156746814).

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

64114050 is a wasteful number, since it uses less digits than its factorization.

64114050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 64114050 is about 8007.1249521910. The cubic root of 64114050 is about 400.2374631669.

Adding to 64114050 its reverse (5041146), we get a palindrome (69155196).

The spelling of 64114050 in words is "sixty-four million, one hundred fourteen thousand, fifty".