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664940520 = 233259831879
BaseRepresentation
bin100111101000100…
…010111111101000
31201100012110220200
4213220202333220
52330211044040
6145551552200
722322621046
oct4750427750
91640173820
10664940520
11311383722
1216682b660
13a79b553a
146444d396
153d599630
hex27a22fe8

664940520 has 96 divisors (see below), whose sum is σ = 2164406400. Its totient is φ = 177042816.

The previous prime is 664940513. The next prime is 664940527. The reversal of 664940520 is 25049466.

664940520 is a `hidden beast` number, since 6 + 649 + 4 + 0 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (664940513) and next prime (664940527).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (664940527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352941 + ... + 354819.

It is an arithmetic number, because the mean of its divisors is an integer number (22545900).

Almost surely, 2664940520 is an apocalyptic number.

664940520 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 664940520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082203200).

664940520 is an abundant number, since it is smaller than the sum of its proper divisors (1499465880).

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

664940520 is a wasteful number, since it uses less digits than its factorization.

664940520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 664940520 is about 25786.4406229320. The cubic root of 664940520 is about 872.8258490688.

Adding to 664940520 its reverse (25049466), we get a palindrome (689989986).

The spelling of 664940520 in words is "six hundred sixty-four million, nine hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 983 1879 1966 2949 3758 3932 4915 5637 5898 7516 7864 8847 9395 9830 11274 11796 14745 15032 16911 17694 18790 19660 22548 23592 28185 29490 33822 35388 37580 39320 44235 45096 56370 58980 67644 70776 75160 84555 88470 112740 117960 135288 169110 176940 225480 338220 353880 676440 1847057 3694114 5541171 7388228 9235285 11082342 14776456 16623513 18470570 22164684 27705855 33247026 36941140 44329368 55411710 66494052 73882280 83117565 110823420 132988104 166235130 221646840 332470260 664940520