Search a number
-
+
75220068 = 223711127641
BaseRepresentation
bin1000111101111…
…00010001100100
312020112120112110
410132330101210
5123224020233
611244121020
71602234330
oct436742144
9166476473
1075220068
1139506a50
1221236170
1312778821
149dc07c0
15690c663
hex47bc464

75220068 has 96 divisors (see below), whose sum is σ = 220889088. Its totient is φ = 19353600.

The previous prime is 75220049. The next prime is 75220073. The reversal of 75220068 is 86002257.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117028 + ... + 117668.

It is an arithmetic number, because the mean of its divisors is an integer number (2300928).

Almost surely, 275220068 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 75220068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110444544).

75220068 is an abundant number, since it is smaller than the sum of its proper divisors (145669020).

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

75220068 is a wasteful number, since it uses less digits than its factorization.

75220068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 75220068 is about 8672.9503630541. The cubic root of 75220068 is about 422.1284021870.

The spelling of 75220068 in words is "seventy-five million, two hundred twenty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 127 132 154 231 254 308 381 462 508 641 762 889 924 1282 1397 1524 1778 1923 2564 2667 2794 3556 3846 4191 4487 5334 5588 7051 7692 8382 8974 9779 10668 13461 14102 16764 17948 19558 21153 26922 28204 29337 39116 42306 49357 53844 58674 81407 84612 98714 117348 148071 162814 197428 244221 296142 325628 488442 569849 592284 895477 976884 1139698 1709547 1790954 2279396 2686431 3419094 3581908 5372862 6268339 6838188 10745724 12536678 18805017 25073356 37610034 75220068