Search a number
-
+
66376320 = 2735181191
BaseRepresentation
bin1111110100110…
…1001010000000
311121220021012020
43331031022000
5113443020240
610330401440
71434121653
oct375151200
9147807166
1066376320
113451656a
121a290280
13109a033a
148b5b89a
155c620d0
hex3f4d280

66376320 has 128 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 17510400.

The previous prime is 66376319. The next prime is 66376333. The reversal of 66376320 is 2367366.

It is a tau number, because it is divible by the number of its divisors (128).

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, 347425 + ... + 347615.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 266376320 is an apocalyptic number.

66376320 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 66376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

66376320 is an abundant number, since it is smaller than the sum of its proper divisors (147480960).

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

66376320 is a wasteful number, since it uses less digits than its factorization.

66376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 66376320 is about 8147.1663785638. The cubic root of 66376320 is about 404.8906273780.

The spelling of 66376320 in words is "sixty-six million, three hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 191 192 240 320 362 382 384 480 543 573 640 724 764 905 955 960 1086 1146 1448 1528 1810 1910 1920 2172 2292 2715 2865 2896 3056 3620 3820 4344 4584 5430 5730 5792 6112 7240 7640 8688 9168 10860 11460 11584 12224 14480 15280 17376 18336 21720 22920 23168 24448 28960 30560 34571 34752 36672 43440 45840 57920 61120 69142 69504 73344 86880 91680 103713 115840 122240 138284 172855 173760 183360 207426 276568 345710 347520 366720 414852 518565 553136 691420 829704 1037130 1106272 1382840 1659408 2074260 2212544 2765680 3318816 4148520 4425088 5531360 6637632 8297040 11062720 13275264 16594080 22125440 33188160 66376320