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64314140 = 22511377901
BaseRepresentation
bin1111010101010…
…1101100011100
311111000111102012
43311111230130
5112431023030
610214250352
71410442532
oct365255434
9144014365
1064314140
1133338190
12196569b8
131042a807
148782152
1559a6095
hex3d55b1c

64314140 has 48 divisors (see below), whose sum is σ = 151339104. Its totient is φ = 22752000.

The previous prime is 64314101. The next prime is 64314149. The reversal of 64314140 is 4141346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64314149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4190 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (3152898).

Almost surely, 264314140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75669552).

64314140 is an abundant number, since it is smaller than the sum of its proper divisors (87024964).

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

64314140 is a wasteful number, since it uses less digits than its factorization.

64314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 64314140 is about 8019.6097161894. The cubic root of 64314140 is about 400.6533904545.

Adding to 64314140 its reverse (4141346), we get a palindrome (68455486).

The spelling of 64314140 in words is "sixty-four million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 7901 8140 15802 31604 39505 79010 86911 158020 173822 292337 347644 434555 584674 869110 1169348 1461685 1738220 2923370 3215707 5846740 6431414 12862828 16078535 32157070 64314140