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66535340 = 22519311563
BaseRepresentation
bin1111110111001…
…1111110101100
311122012100022212
43331303332230
5114013112330
610334025552
71435353404
oct375637654
9148170285
1066535340
1134614a93
121a3482b8
1310a27831
148b9d804
155c94295
hex3f73fac

66535340 has 48 divisors (see below), whose sum is σ = 147813120. Its totient is φ = 25087680.

The previous prime is 66535327. The next prime is 66535363. The reversal of 66535340 is 4353566.

It is a junction number, because it is equal to n+sod(n) for n = 66535297 and 66535306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117899 + ... + 118461.

It is an arithmetic number, because the mean of its divisors is an integer number (3079440).

Almost surely, 266535340 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 66535340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73906560).

66535340 is an abundant number, since it is smaller than the sum of its proper divisors (81277780).

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

66535340 is a wasteful number, since it uses less digits than its factorization.

66535340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 66535340 is about 8156.9197617728. The cubic root of 66535340 is about 405.2137062455.

The spelling of 66535340 in words is "sixty-six million, five hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 311 380 563 622 1126 1244 1555 2252 2815 3110 5630 5909 6220 10697 11260 11818 21394 23636 29545 42788 53485 59090 106970 118180 175093 213940 350186 700372 875465 1750930 3326767 3501860 6653534 13307068 16633835 33267670 66535340