Search a number
-
+
64309140 = 22345753107
BaseRepresentation
bin1111010101010…
…0011110010100
311111000020120000
43311110132110
5112430343030
610214211300
71410422130
oct365243624
9144006500
1064309140
1133334455
1219653b30
131042845c
1487803c0
1559a4860
hex3d54794

64309140 has 240 divisors, whose sum is σ = 237105792. Its totient is φ = 14287104.

The previous prime is 64309139. The next prime is 64309171. The reversal of 64309140 is 4190346.

64309140 is a `hidden beast` number, since 643 + 0 + 9 + 14 + 0 = 666.

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 600967 + ... + 601073.

Almost surely, 264309140 is an apocalyptic number.

64309140 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 64309140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552896).

64309140 is an abundant number, since it is smaller than the sum of its proper divisors (172796652).

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

64309140 is a wasteful number, since it uses less digits than its factorization.

64309140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 64309140 is about 8019.2979742618. The cubic root of 64309140 is about 400.6430074663.

Adding to 64309140 its reverse (4190346), we get a palindrome (68499486).

The spelling of 64309140 in words is "sixty-four million, three hundred nine thousand, one hundred forty".