Search a number
-
+
90128016 = 243211173347
BaseRepresentation
bin1010101111100…
…11111010010000
320021120222101200
411113303322100
5141033044031
612535431200
72143034616
oct527637220
9207528350
1090128016
1146969570
1226225500
13158982b4
14bd816b6
157da48e6
hex55f3e90

90128016 has 120 divisors (see below), whose sum is σ = 291436704. Its totient is φ = 25697280.

The previous prime is 90127979. The next prime is 90128021. The reversal of 90128016 is 61082109.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25255 + ... + 28601.

Almost surely, 290128016 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 90128016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145718352).

90128016 is an abundant number, since it is smaller than the sum of its proper divisors (201308688).

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

90128016 is a wasteful number, since it uses less digits than its factorization.

90128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 90128016 is about 9493.5776185798. The cubic root of 90128016 is about 448.3528523292.

The spelling of 90128016 in words is "ninety million, one hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3347 3366 4488 6694 6732 8976 10041 13388 13464 20082 26776 26928 30123 36817 40164 53552 56899 60246 73634 80328 110451 113798 120492 147268 160656 170697 220902 227596 240984 294536 331353 341394 441804 455192 481968 512091 589072 625889 662706 682788 883608 910384 1024182 1251778 1325412 1365576 1767216 1877667 2048364 2503556 2650824 2731152 3755334 4096728 5007112 5301648 5633001 7510668 8193456 10014224 11266002 15021336 22532004 30042672 45064008 90128016