Search a number
-
+
66023580 = 223572171321
BaseRepresentation
bin1111101111011…
…1000010011100
311121020100022210
43323313002130
5113400223310
610315040420
71431122400
oct373670234
9147210283
1066023580
11342a5547
121a140110
13108a890c
148aa9100
155be2820
hex3ef709c

66023580 has 144 divisors (see below), whose sum is σ = 227870496. Its totient is φ = 14192640.

The previous prime is 66023569. The next prime is 66023603. The reversal of 66023580 is 8532066.

It is a super-2 number, since 2×660235802 = 8718226232032800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49320 + ... + 50640.

It is an arithmetic number, because the mean of its divisors is an integer number (1582434).

Almost surely, 266023580 is an apocalyptic number.

66023580 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 66023580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113935248).

66023580 is an abundant number, since it is smaller than the sum of its proper divisors (161846916).

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

66023580 is a wasteful number, since it uses less digits than its factorization.

66023580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 66023580 is about 8125.4895237149. The cubic root of 66023580 is about 404.1721238266.

The spelling of 66023580 in words is "sixty-six million, twenty-three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1321 1428 1470 1666 1785 2380 2499 2642 2940 3332 3570 3963 4165 4998 5284 6605 7140 7926 8330 9247 9996 12495 13210 15852 16660 18494 19815 22457 24990 26420 27741 36988 39630 44914 46235 49980 55482 64729 67371 79260 89828 92470 110964 112285 129458 134742 138705 157199 184940 194187 224570 258916 269484 277410 314398 323645 336855 388374 449140 471597 554820 628796 647290 673710 776748 785995 943194 970935 1100393 1294580 1347420 1571990 1886388 1941870 2200786 2357985 3143980 3301179 3883740 4401572 4715970 5501965 6602358 9431940 11003930 13204716 16505895 22007860 33011790 66023580