Search a number
-
+
74668770 = 23351131811
BaseRepresentation
bin1000111001101…
…01101011100010
312012111120022000
410130311223202
5123103400040
611224224430
71564450131
oct434655342
9165446260
1074668770
113916a830
122100b116
1312614907
149cb9918
15684e130
hex4735ae2

74668770 has 128 divisors (see below), whose sum is σ = 224501760. Its totient is φ = 17496000.

The previous prime is 74668747. The next prime is 74668771. The reversal of 74668770 is 7786647.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74668771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91665 + ... + 92475.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 274668770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74668770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112250880).

74668770 is an abundant number, since it is smaller than the sum of its proper divisors (149832990).

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

74668770 is a wasteful number, since it uses less digits than its factorization.

74668770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 74668770 is about 8641.1093037873. The cubic root of 74668770 is about 421.0945937976.

The spelling of 74668770 in words is "seventy-four million, six hundred sixty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 135 155 165 186 198 270 279 297 310 330 341 465 495 558 594 682 811 837 930 990 1023 1395 1485 1622 1674 1705 2046 2433 2790 2970 3069 3410 4055 4185 4866 5115 6138 7299 8110 8370 8921 9207 10230 12165 14598 15345 17842 18414 21897 24330 25141 26763 30690 36495 43794 44605 46035 50282 53526 72990 75423 80289 89210 92070 109485 125705 133815 150846 160578 218970 226269 240867 251410 267630 276551 377115 401445 452538 481734 553102 678807 754230 802890 829653 1131345 1204335 1357614 1382755 1659306 2262690 2408670 2488959 2765510 3394035 4148265 4977918 6788070 7466877 8296530 12444795 14933754 24889590 37334385 74668770