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66157520 = 24511135783
BaseRepresentation
bin1111110001011…
…1101111010000
311121111011001112
43330113233100
5113414020040
610321552452
71432221032
oct374275720
9147434045
1066157520
1134387140
121a1a5728
1310924880
148b01c52
155c1c365
hex3f17bd0

66157520 has 80 divisors (see below), whose sum is σ = 180738432. Its totient is φ = 22202880.

The previous prime is 66157501. The next prime is 66157541. The reversal of 66157520 is 2575166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 8549 + ... + 14331.

Almost surely, 266157520 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 66157520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90369216).

66157520 is an abundant number, since it is smaller than the sum of its proper divisors (114580912).

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

66157520 is a wasteful number, since it uses less digits than its factorization.

66157520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 66157520 is about 8133.7273128622. The cubic root of 66157520 is about 404.4452497222.

The spelling of 66157520 in words is "sixty-six million, one hundred fifty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 5783 11440 11566 23132 28915 46264 57830 63613 75179 92528 115660 127226 150358 231320 254452 300716 318065 375895 462640 508904 601432 636130 751790 826969 1017808 1202864 1272260 1503580 1653938 2544520 3007160 3307876 4134845 5089040 6014320 6615752 8269690 13231504 16539380 33078760 66157520