Search a number
-
+
90014856 = 23319307643
BaseRepresentation
bin1010101110110…
…00010010001000
320021101020011120
411113120102020
5141020433411
612533155240
72142053661
oct527302210
9207336146
1090014856
11468a1548
122618bb20
1315858939
14bd52368
157d81106
hex55d8488

90014856 has 64 divisors (see below), whose sum is σ = 238022400. Its totient is φ = 28289088.

The previous prime is 90014849. The next prime is 90014857. The reversal of 90014856 is 65841009.

It is not an unprimeable number, because it can be changed into a prime (90014857) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 139671 + ... + 140313.

It is an arithmetic number, because the mean of its divisors is an integer number (3719100).

Almost surely, 290014856 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 90014856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119011200).

90014856 is an abundant number, since it is smaller than the sum of its proper divisors (148007544).

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

90014856 is a wasteful number, since it uses less digits than its factorization.

90014856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 90014856 is about 9487.6159281455. The cubic root of 90014856 is about 448.1651309839.

The spelling of 90014856 in words is "ninety million, fourteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 307 456 614 643 921 1228 1286 1842 1929 2456 2572 3684 3858 5144 5833 7368 7716 11666 12217 15432 17499 23332 24434 34998 36651 46664 48868 69996 73302 97736 139992 146604 197401 293208 394802 592203 789604 1184406 1579208 2368812 3750619 4737624 7501238 11251857 15002476 22503714 30004952 45007428 90014856