Search a number
-
+
71774430 = 23571361431
BaseRepresentation
bin1000100011100…
…11000011011110
312000001112000020
410101303003132
5121333240210
611042213010
71531033620
oct421630336
9160045006
1071774430
1137573212
1220054166
1311b403a0
149764c10
15647b770
hex44730de

71774430 has 128 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 14860800.

The previous prime is 71774401. The next prime is 71774441. The reversal of 71774430 is 3447717.

It is a junction number, because it is equal to n+sod(n) for n = 71774391 and 71774400.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 166315 + ... + 166745.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 271774430 is an apocalyptic number.

71774430 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71774430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

71774430 is an abundant number, since it is smaller than the sum of its proper divisors (144211746).

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

71774430 is a wasteful number, since it uses less digits than its factorization.

71774430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522.

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 71774430 is about 8471.9791076230. The cubic root of 71774430 is about 415.5818615035.

The spelling of 71774430 in words is "seventy-one million, seven hundred seventy-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 61 65 70 78 91 105 122 130 182 183 195 210 273 305 366 390 427 431 455 546 610 793 854 862 910 915 1281 1293 1365 1586 1830 2135 2155 2379 2562 2586 2730 3017 3965 4270 4310 4758 5551 5603 6034 6405 6465 7930 9051 11102 11206 11895 12810 12930 15085 16653 16809 18102 23790 26291 27755 28015 30170 33306 33618 39221 45255 52582 55510 56030 78442 78873 83265 84045 90510 117663 131455 157746 166530 168090 184037 196105 235326 262910 341783 368074 392210 394365 552111 588315 683566 788730 920185 1025349 1104222 1176630 1708915 1840370 2050698 2392481 2760555 3417830 4784962 5126745 5521110 7177443 10253490 11962405 14354886 23924810 35887215 71774430