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66663240 = 23357611301
BaseRepresentation
bin1111111001001…
…1001101001000
311122102211202220
43332103031020
5114031210430
610340454040
71436425320
oct376231510
9148384686
1066663240
11346a2096
121a3aa320
1310a70b07
148bd4280
155cbc110
hex3f93348

66663240 has 128 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 14976000.

The previous prime is 66663217. The next prime is 66663271. The reversal of 66663240 is 4236666.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50590 + ... + 51890.

It is an arithmetic number, because the mean of its divisors is an integer number (1816290).

Almost surely, 266663240 is an apocalyptic number.

66663240 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 66663240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

66663240 is an abundant number, since it is smaller than the sum of its proper divisors (165821880).

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

66663240 is a wasteful number, since it uses less digits than its factorization.

66663240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 66663240 is about 8164.7559669595. The cubic root of 66663240 is about 405.4731856929.

The spelling of 66663240 in words is "sixty-six million, six hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 488 610 732 840 854 915 1220 1281 1301 1464 1708 1830 2135 2440 2562 2602 3416 3660 3903 4270 5124 5204 6405 6505 7320 7806 8540 9107 10248 10408 12810 13010 15612 17080 18214 19515 25620 26020 27321 31224 36428 39030 45535 51240 52040 54642 72856 78060 79361 91070 109284 136605 156120 158722 182140 218568 238083 273210 317444 364280 396805 476166 546420 555527 634888 793610 952332 1092840 1111054 1190415 1587220 1666581 1904664 2222108 2380830 2777635 3174440 3333162 4444216 4761660 5555270 6666324 8332905 9523320 11110540 13332648 16665810 22221080 33331620 66663240