Search a number
-
+
90150912 = 211326773
BaseRepresentation
bin1010101111110…
…01100000000000
320021122010210200
411113321200000
5141034312122
612540125200
72143161435
oct527714000
9207563720
1090150912
1146984795
1226236800
13158a5847
14bd89b8c
157dab5ac
hex55f9800

90150912 has 144 divisors (see below), whose sum is σ = 267878520. Its totient is φ = 29196288.

The previous prime is 90150889. The next prime is 90150959. The reversal of 90150912 is 21905109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234908 + ... + 1234980.

Almost surely, 290150912 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 90150912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133939260).

90150912 is an abundant number, since it is smaller than the sum of its proper divisors (177727608).

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

90150912 is a wasteful number, since it uses less digits than its factorization.

90150912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 90150912 is about 9494.7834098520. The cubic root of 90150912 is about 448.3908154333.

The spelling of 90150912 in words is "ninety million, one hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 73 96 128 134 144 146 192 201 219 256 268 288 292 384 402 438 512 536 576 584 603 657 768 804 876 1024 1072 1152 1168 1206 1314 1536 1608 1752 2048 2144 2304 2336 2412 2628 3072 3216 3504 4288 4608 4672 4824 4891 5256 6144 6432 7008 8576 9216 9344 9648 9782 10512 12864 14016 14673 17152 18432 18688 19296 19564 21024 25728 28032 29346 34304 37376 38592 39128 42048 44019 51456 56064 58692 68608 74752 77184 78256 84096 88038 102912 112128 117384 137216 149504 154368 156512 168192 176076 205824 224256 234768 308736 313024 336384 352152 411648 448512 469536 617472 626048 672768 704304 939072 1234944 1252096 1345536 1408608 1878144 2504192 2817216 3756288 5008384 5634432 7512576 10016768 11268864 15025152 22537728 30050304 45075456 90150912