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71730468 = 22332367431
BaseRepresentation
bin1000100011010…
…00010100100100
311222222021201000
410101220110210
5121330333333
611041233300
71530461505
oct421502444
9158867630
1071730468
1137543187
1220032830
1311b26384
149752bac
15646d713
hex4468524

71730468 has 96 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 22476960.

The previous prime is 71730437. The next prime is 71730469. The reversal of 71730468 is 86403717.

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

It is not an unprimeable number, because it can be changed into a prime (71730469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166213 + ... + 166643.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 271730468 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 71730468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

71730468 is an abundant number, since it is smaller than the sum of its proper divisors (125676252).

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

71730468 is a wasteful number, since it uses less digits than its factorization.

71730468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

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

The square root of 71730468 is about 8469.3841570683. The cubic root of 71730468 is about 415.4969958990.

The spelling of 71730468 in words is "seventy-one million, seven hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 67 69 92 108 134 138 201 207 268 276 402 414 431 603 621 804 828 862 1206 1242 1293 1541 1724 1809 2412 2484 2586 3082 3618 3879 4623 5172 6164 7236 7758 9246 9913 11637 13869 15516 18492 19826 23274 27738 28877 29739 39652 41607 46548 55476 57754 59478 83214 86631 89217 115508 118956 166428 173262 178434 259893 267651 346524 356868 519786 535302 664171 779679 1039572 1070604 1328342 1559358 1992513 2656684 3118716 3985026 5977539 7970052 11955078 17932617 23910156 35865234 71730468