Search a number
-
+
66540384 = 25322931257
BaseRepresentation
bin1111110111010…
…1001101100000
311122012121020200
43331311031200
5114013243014
610334105200
71435404201
oct375651540
9148177220
1066540384
1134618859
121a34b200
1310a29c11
148ba15a8
155c95a09
hex3f75360

66540384 has 144 divisors (see below), whose sum is σ = 202849920. Its totient is φ = 20643840.

The previous prime is 66540379. The next prime is 66540401. The reversal of 66540384 is 48304566.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258784 + ... + 259040.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 266540384 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 66540384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101424960).

66540384 is an abundant number, since it is smaller than the sum of its proper divisors (136309536).

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

66540384 is a wasteful number, since it uses less digits than its factorization.

66540384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 66540384 is about 8157.2289412520. The cubic root of 66540384 is about 405.2239456475.

The spelling of 66540384 in words is "sixty-six million, five hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 32 36 48 58 62 72 87 93 96 116 124 144 174 186 232 248 257 261 279 288 348 372 464 496 514 522 558 696 744 771 899 928 992 1028 1044 1116 1392 1488 1542 1798 2056 2088 2232 2313 2697 2784 2976 3084 3596 4112 4176 4464 4626 5394 6168 7192 7453 7967 8091 8224 8352 8928 9252 10788 12336 14384 14906 15934 16182 18504 21576 22359 23901 24672 28768 29812 31868 32364 37008 43152 44718 47802 59624 63736 64728 67077 71703 74016 86304 89436 95604 119248 127472 129456 134154 143406 178872 191208 231043 238496 254944 258912 268308 286812 357744 382416 462086 536616 573624 693129 715488 764832 924172 1073232 1147248 1386258 1848344 2079387 2146464 2294496 2772516 3696688 4158774 5545032 7393376 8317548 11090064 16635096 22180128 33270192 66540384