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66438060 = 223513194483
BaseRepresentation
bin1111110101110…
…0001110101100
311122000101212220
43331130032230
5114002004220
610331555340
71434466653
oct375341654
9148011786
1066438060
1134558997
121a2bbb50
13109c2480
148b7619a
155c75540
hex3f5c3ac

66438060 has 96 divisors (see below), whose sum is σ = 210927360. Its totient is φ = 15489792.

The previous prime is 66438059. The next prime is 66438061. The reversal of 66438060 is 6083466.

It is an interprime number because it is at equal distance from previous prime (66438059) and next prime (66438061).

It is not an unprimeable number, because it can be changed into a prime (66438061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12579 + ... + 17061.

It is an arithmetic number, because the mean of its divisors is an integer number (2197160).

Almost surely, 266438060 is an apocalyptic number.

66438060 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 66438060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105463680).

66438060 is an abundant number, since it is smaller than the sum of its proper divisors (144489300).

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

66438060 is a wasteful number, since it uses less digits than its factorization.

66438060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 66438060 is about 8150.9545453278. The cubic root of 66438060 is about 405.0161249486.

The spelling of 66438060 in words is "sixty-six million, four hundred thirty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4483 4940 7410 8966 13449 14820 17932 22415 26898 44830 53796 58279 67245 85177 89660 116558 134490 170354 174837 233116 255531 268980 291395 340708 349674 425885 511062 582790 699348 851770 874185 1022124 1107301 1165580 1277655 1703540 1748370 2214602 2555310 3321903 3496740 4429204 5110620 5536505 6643806 11073010 13287612 16609515 22146020 33219030 66438060