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65940660 = 22325379901
BaseRepresentation
bin1111101110001…
…0110010110100
311121002010120200
43323202302310
5113340100120
610313200500
71430325552
oct373426264
9147063520
1065940660
1134249215
121a100130
1310879c56
148a86bd2
155bc7e90
hex3ee2cb4

65940660 has 72 divisors (see below), whose sum is σ = 205446696. Its totient is φ = 17107200.

The previous prime is 65940617. The next prime is 65940691. The reversal of 65940660 is 6604956.

It is a happy number.

65940660 is a `hidden beast` number, since 6 + 594 + 0 + 6 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36650916 + 29289744 = 6054^2 + 5412^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1710 + ... + 11610.

Almost surely, 265940660 is an apocalyptic number.

65940660 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 65940660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102723348).

65940660 is an abundant number, since it is smaller than the sum of its proper divisors (139506036).

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

65940660 is a wasteful number, since it uses less digits than its factorization.

65940660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 65940660 is about 8120.3854588314. The cubic root of 65940660 is about 404.0028510076.

The spelling of 65940660 in words is "sixty-five million, nine hundred forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 9901 19802 29703 39604 49505 59406 89109 99010 118812 148515 178218 198020 297030 356436 366337 445545 594060 732674 891090 1099011 1465348 1782180 1831685 2198022 3297033 3663370 4396044 5495055 6594066 7326740 10990110 13188132 16485165 21980220 32970330 65940660