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96840450 = 23252771433
BaseRepresentation
bin1011100010110…
…10101100000010
320202020000010100
411301122230002
5144242343300
613335343230
72254062450
oct561325402
9222200110
1096840450
114a733733
1228521b16
13170a8655
14cc0b9d0
15877d700
hex5c5ab02

96840450 has 144 divisors (see below), whose sum is σ = 302230656. Its totient is φ = 21772800.

The previous prime is 96840409. The next prime is 96840451. The reversal of 96840450 is 5404869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96840451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223434 + ... + 223866.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 296840450 is an apocalyptic number.

96840450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96840450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115328).

96840450 is an abundant number, since it is smaller than the sum of its proper divisors (205390206).

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

96840450 is a wasteful number, since it uses less digits than its factorization.

96840450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 96840450 is about 9840.7545442410. The cubic root of 96840450 is about 459.2180318901.

The spelling of 96840450 in words is "ninety-six million, eight hundred forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 71 75 90 105 126 142 150 175 210 213 225 315 350 355 426 433 450 497 525 630 639 710 866 994 1050 1065 1278 1299 1491 1575 1775 2130 2165 2485 2598 2982 3031 3150 3195 3550 3897 4330 4473 4970 5325 6062 6390 6495 7455 7794 8946 9093 10650 10825 12425 12990 14910 15155 15975 18186 19485 21650 22365 24850 27279 30310 30743 31950 32475 37275 38970 44730 45465 54558 61486 64950 74550 75775 90930 92229 97425 111825 136395 151550 153715 184458 194850 215201 223650 227325 272790 276687 307430 430402 454650 461145 553374 645603 681975 768575 922290 1076005 1291206 1363950 1383435 1537150 1936809 2152010 2305725 2766870 3228015 3873618 4611450 5380025 6456030 6917175 9684045 10760050 13834350 16140075 19368090 32280150 48420225 96840450