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66534240 = 2535971429
BaseRepresentation
bin1111110111001…
…1101101100000
311122012021211010
43331303231200
5114013043430
610334020520
71435350243
oct375635540
9148167733
1066534240
1134614183
121a347740
1310a27196
148b9d25a
155c93cb0
hex3f73b60

66534240 has 96 divisors (see below), whose sum is σ = 211891680. Its totient is φ = 17547264.

The previous prime is 66534227. The next prime is 66534253. The reversal of 66534240 is 4243566.

It is an interprime number because it is at equal distance from previous prime (66534227) and next prime (66534253).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66534198 and 66534207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45846 + ... + 47274.

It is an arithmetic number, because the mean of its divisors is an integer number (2207205).

Almost surely, 266534240 is an apocalyptic number.

66534240 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 66534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945840).

66534240 is an abundant number, since it is smaller than the sum of its proper divisors (145357440).

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

66534240 is a wasteful number, since it uses less digits than its factorization.

66534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 66534240 is about 8156.8523340808. The cubic root of 66534240 is about 405.2114731589.

The spelling of 66534240 in words is "sixty-six million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1429 1455 1552 1940 2328 2858 2910 3104 3880 4287 4656 5716 5820 7145 7760 8574 9312 11432 11640 14290 15520 17148 21435 22864 23280 28580 34296 42870 45728 46560 57160 68592 85740 114320 137184 138613 171480 228640 277226 342960 415839 554452 685920 693065 831678 1108904 1386130 1663356 2079195 2217808 2772260 3326712 4158390 4435616 5544520 6653424 8316780 11089040 13306848 16633560 22178080 33267120 66534240