Search a number
-
+
90616240 = 2451113892
BaseRepresentation
bin1010110011010…
…11000110110000
320022111210010001
411121223012300
5141144204430
612554115344
72150140201
oct531530660
9208453101
1090616240
1147172360
122641bb54
1315a095a0
14c06b5a8
157e4e3ca
hex566b1b0

90616240 has 120 divisors (see below), whose sum is σ = 250327728. Its totient is φ = 30074880.

The previous prime is 90616231. The next prime is 90616243. The reversal of 90616240 is 4261609.

It is a super-2 number, since 2×906162402 = 16422605903475200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90616199 and 90616208.

It is not an unprimeable number, because it can be changed into a prime (90616243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018116 + ... + 1018204.

Almost surely, 290616240 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 90616240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125163864).

90616240 is an abundant number, since it is smaller than the sum of its proper divisors (159711488).

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

90616240 is a wasteful number, since it uses less digits than its factorization.

90616240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 90616240 is about 9519.2562734701. The cubic root of 90616240 is about 449.1609715768.

Adding to 90616240 its reverse (4261609), we get a palindrome (94877849).

The spelling of 90616240 in words is "ninety million, six hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 89 104 110 130 143 176 178 208 220 260 286 356 440 445 520 572 712 715 880 890 979 1040 1144 1157 1424 1430 1780 1958 2288 2314 2860 3560 3916 4628 4895 5720 5785 7120 7832 7921 9256 9790 11440 11570 12727 15664 15842 18512 19580 23140 25454 31684 39160 39605 46280 50908 63368 63635 78320 79210 87131 92560 101816 102973 126736 127270 158420 174262 203632 205946 254540 316840 348524 411892 435655 509080 514865 633680 697048 823784 871310 1018160 1029730 1132703 1394096 1647568 1742620 2059460 2265406 3485240 4118920 4530812 5663515 6970480 8237840 9061624 11327030 18123248 22654060 45308120 90616240