Search a number
-
+
90912720 = 24351919937
BaseRepresentation
bin1010110101100…
…11011111010000
320100001211210210
411122303133100
5141233201340
613004324120
72152513443
oct532633720
9210054723
1090912720
1147355088
1226543640
1315ab1512
14c10765a
157eac180
hex56b37d0

90912720 has 80 divisors (see below), whose sum is σ = 296677440. Its totient is φ = 22966272.

The previous prime is 90912691. The next prime is 90912727. The reversal of 90912720 is 2721909.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90912727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5409 + ... + 14528.

It is an arithmetic number, because the mean of its divisors is an integer number (3708468).

Almost surely, 290912720 is an apocalyptic number.

It is an amenable number.

90912720 is an abundant number, since it is smaller than the sum of its proper divisors (205764720).

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

90912720 is a wasteful number, since it uses less digits than its factorization.

90912720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19972 (or 19966 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 90912720 is about 9534.8162016895. The cubic root of 90912720 is about 449.6502962100.

It can be divided in two parts, 9091 and 2720, that added together give a palindrome (11811).

The spelling of 90912720 in words is "ninety million, nine hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 19937 39874 59811 79748 99685 119622 159496 199370 239244 299055 318992 378803 398740 478488 598110 757606 797480 956976 1136409 1196220 1515212 1594960 1894015 2272818 2392440 3030424 3788030 4545636 4784880 5682045 6060848 7576060 9091272 11364090 15152120 18182544 22728180 30304240 45456360 90912720