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65896020 = 22325418929
BaseRepresentation
bin1111101101011…
…1111001010100
311120222212100100
43323113321110
5113332133040
610312214100
71430051451
oct373277124
9146885310
1065896020
1134218723
121a09a330
1310862838
148a74828
155bb9b30
hex3ed7e54

65896020 has 72 divisors (see below), whose sum is σ = 204782760. Its totient is φ = 17141760.

The previous prime is 65896003. The next prime is 65896027. The reversal of 65896020 is 2069856.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 61685316 = 2052^2 + 7854^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65896027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2916 + ... + 11844.

It is an arithmetic number, because the mean of its divisors is an integer number (2844205).

Almost surely, 265896020 is an apocalyptic number.

65896020 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 65896020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102391380).

65896020 is an abundant number, since it is smaller than the sum of its proper divisors (138886740).

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

65896020 is a wasteful number, since it uses less digits than its factorization.

65896020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985 (or 8980 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 65896020 is about 8117.6363554917. The cubic root of 65896020 is about 403.9116641816.

The spelling of 65896020 in words is "sixty-five million, eight hundred ninety-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 8929 17858 26787 35716 44645 53574 80361 89290 107148 133935 160722 178580 267870 321444 366089 401805 535740 732178 803610 1098267 1464356 1607220 1830445 2196534 3294801 3660890 4393068 5491335 6589602 7321780 10982670 13179204 16474005 21965340 32948010 65896020