Search a number
-
+
75086730 = 2335476197
BaseRepresentation
bin1000111100110…
…11101110001010
312020021210122000
410132123232022
5123210233410
611241211430
71601140515
oct436335612
9166253560
1075086730
1139425854
1221190b76
131272cc24
149d87d7c
1568d2dc0
hex479bb8a

75086730 has 128 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 19077120.

The previous prime is 75086723. The next prime is 75086761. The reversal of 75086730 is 3768057.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 774042 + ... + 774138.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 275086730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75086730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

75086730 is an abundant number, since it is smaller than the sum of its proper divisors (134899830).

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

75086730 is a wasteful number, since it uses less digits than its factorization.

75086730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75086730 is about 8665.2599499380. The cubic root of 75086730 is about 421.8788276196.

The spelling of 75086730 in words is "seventy-five million, eighty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 61 90 94 97 122 135 141 183 194 235 270 282 291 305 366 423 470 485 549 582 610 705 846 873 915 970 1098 1269 1410 1455 1647 1746 1830 2115 2538 2619 2745 2867 2910 3294 4230 4365 4559 5238 5490 5734 5917 6345 8235 8601 8730 9118 11834 12690 13095 13677 14335 16470 17202 17751 22795 25803 26190 27354 28670 29585 35502 41031 43005 45590 51606 53253 59170 68385 77409 82062 86010 88755 106506 123093 129015 136770 154818 159759 177510 205155 246186 258030 266265 278099 319518 387045 410310 532530 556198 615465 774090 798795 834297 1230930 1390495 1597590 1668594 2502891 2780990 4171485 5005782 7508673 8342970 12514455 15017346 25028910 37543365 75086730