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64530060 = 22357247467
BaseRepresentation
bin1111011000101…
…0011010001100
311111102110121020
43312022122030
5113004430220
610223034140
71412332200
oct366123214
9144373536
1064530060
1133475431
121973b950
13104a4b8a
1487dab00
1559ea040
hex3d8a68c

64530060 has 144 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 14404992.

The previous prime is 64530047. The next prime is 64530077. The reversal of 64530060 is 6003546.

64530060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64530060.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137947 + ... + 138413.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 264530060 is an apocalyptic number.

64530060 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 64530060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

64530060 is an abundant number, since it is smaller than the sum of its proper divisors (150585204).

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

64530060 is a wasteful number, since it uses less digits than its factorization.

64530060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 64530060 is about 8033.0604379651. The cubic root of 64530060 is about 401.1012569670.

The spelling of 64530060 in words is "sixty-four million, five hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 49 60 70 84 94 98 105 140 141 147 188 196 210 235 245 282 294 329 420 467 470 490 564 588 658 705 735 934 940 980 987 1316 1401 1410 1470 1645 1868 1974 2303 2335 2802 2820 2940 3269 3290 3948 4606 4670 4935 5604 6538 6580 6909 7005 9212 9340 9807 9870 11515 13076 13818 14010 16345 19614 19740 21949 22883 23030 27636 28020 32690 34545 39228 43898 45766 46060 49035 65380 65847 68649 69090 87796 91532 98070 109745 114415 131694 137298 138180 153643 196140 219490 228830 263388 274596 307286 329235 343245 438980 457660 460929 614572 658470 686490 768215 921858 1075501 1316940 1372980 1536430 1843716 2151002 2304645 3072860 3226503 4302004 4609290 5377505 6453006 9218580 10755010 12906012 16132515 21510020 32265030 64530060