Search a number
-
+
741947220 = 223257284121
BaseRepresentation
bin101100001110010…
…011011101010100
31220201002211020200
4230032103131110
53004414302340
6201342300500
724246306300
oct5416233524
91821084220
10741947220
1135089aa23
12188587730
13ba938331
1470776d00
154520b330
hex2c393754

741947220 has 108 divisors (see below), whose sum is σ = 2618044884. Its totient is φ = 169585920.

The previous prime is 741947197. The next prime is 741947221. The reversal of 741947220 is 22749147.

741947220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 111133764 + 630813456 = 10542^2 + 25116^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741947221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33241 + ... + 50880.

Almost surely, 2741947220 is an apocalyptic number.

741947220 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

741947220 is an abundant number, since it is smaller than the sum of its proper divisors (1876097664).

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

741947220 is a wasteful number, since it uses less digits than its factorization.

741947220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84150 (or 84138 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 741947220 is about 27238.7081191454. The cubic root of 741947220 is about 905.2968390244.

The spelling of 741947220 in words is "seven hundred forty-one million, nine hundred forty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 84121 168242 252363 336484 420605 504726 588847 757089 841210 1009452 1177694 1261815 1514178 1682420 1766541 2355388 2523630 2944235 3028356 3533082 3785445 4121929 5047260 5299623 5888470 7066164 7570890 8243858 8832705 10599246 11776940 12365787 15141780 16487716 17665410 20609645 21198492 24731574 26498115 35330820 37097361 41219290 49463148 52996230 61828935 74194722 82438580 105992460 123657870 148389444 185486805 247315740 370973610 741947220