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64036640 = 2552937373
BaseRepresentation
bin1111010001000…
…1111100100000
311110111101202102
43310101330200
5112343133030
610204305532
71405205513
oct364217440
9143441672
1064036640
1133168748
12195422a8
1310361405
14870cd7a
15594dc45
hex3d11f20

64036640 has 96 divisors (see below), whose sum is σ = 161164080. Its totient is φ = 23998464.

The previous prime is 64036627. The next prime is 64036649. The reversal of 64036640 is 4663046.

It can be written as a sum of positive squares in 8 ways, for example, as 43930384 + 20106256 = 6628^2 + 4484^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (64036649) 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, 171494 + ... + 171866.

Almost surely, 264036640 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 64036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80582040).

64036640 is an abundant number, since it is smaller than the sum of its proper divisors (97127440).

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

64036640 is a wasteful number, since it uses less digits than its factorization.

64036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 64036640 is about 8002.2896723375. The cubic root of 64036640 is about 400.0763187710.

Adding to 64036640 its reverse (4663046), we get a palindrome (68699686).

The spelling of 64036640 in words is "sixty-four million, thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 74 80 116 145 148 160 185 232 290 296 370 373 464 580 592 740 746 928 1073 1160 1184 1480 1492 1865 2146 2320 2960 2984 3730 4292 4640 5365 5920 5968 7460 8584 10730 10817 11936 13801 14920 17168 21460 21634 27602 29840 34336 42920 43268 54085 55204 59680 69005 85840 86536 108170 110408 138010 171680 173072 216340 220816 276020 346144 400229 432680 441632 552040 800458 865360 1104080 1600916 1730720 2001145 2208160 3201832 4002290 6403664 8004580 12807328 16009160 32018320 64036640