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64673960 = 23513277449
BaseRepresentation
bin1111011010110…
…1100010101000
311111200202222212
43312231202220
5113024031320
610230104252
71413501551
oct366554250
9144622885
1064673960
113356355a
12197ab088
1310525520
148837328
155a279c5
hex3dad8a8

64673960 has 64 divisors (see below), whose sum is σ = 157626000. Its totient is φ = 23740416.

The previous prime is 64673957. The next prime is 64673963. The reversal of 64673960 is 6937646.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64673957) and next prime (64673963).

It can be written as a sum of positive squares in 8 ways, for example, as 9647236 + 55026724 = 3106^2 + 7418^2 .

It is a super-2 number, since 2×646739602 = 8365442204163200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64673963) 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, 143816 + ... + 144264.

Almost surely, 264673960 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 64673960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78813000).

64673960 is an abundant number, since it is smaller than the sum of its proper divisors (92952040).

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

64673960 is a wasteful number, since it uses less digits than its factorization.

64673960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 64673960 is about 8042.0121860141. The cubic root of 64673960 is about 401.3991833416.

The spelling of 64673960 in words is "sixty-four million, six hundred seventy-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 277 449 520 554 898 1108 1385 1796 2216 2245 2770 3592 3601 4490 5540 5837 7202 8980 11080 11674 14404 17960 18005 23348 28808 29185 36010 46696 58370 72020 116740 124373 144040 233480 248746 497492 621865 994984 1243730 1616849 2487460 3233698 4974920 6467396 8084245 12934792 16168490 32336980 64673960