Search a number
-
+
90296920 = 23571971637
BaseRepresentation
bin1010110000111…
…01001001011000
320021220120002101
411120131021120
5141104000140
612543213144
72144340220
oct530351130
9207816071
1090296920
1146a7445a
12262a71b4
131592713c
14bdc7080
157dd999a
hex561d258

90296920 has 64 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 30782976.

The previous prime is 90296903. The next prime is 90296951. The reversal of 90296920 is 2969209.

It is a super-2 number, since 2×902969202 = 16307067522972800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90296920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54342 + ... + 55978.

It is an arithmetic number, because the mean of its divisors is an integer number (3648645).

Almost surely, 290296920 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 90296920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

90296920 is an abundant number, since it is smaller than the sum of its proper divisors (143216360).

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

90296920 is a wasteful number, since it uses less digits than its factorization.

90296920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 90296920 is about 9502.4691528044. The cubic root of 90296920 is about 448.6327554287.

The spelling of 90296920 in words is "ninety million, two hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 197 280 394 788 985 1379 1576 1637 1970 2758 3274 3940 5516 6548 6895 7880 8185 11032 11459 13096 13790 16370 22918 27580 32740 45836 55160 57295 65480 91672 114590 229180 322489 458360 644978 1289956 1612445 2257423 2579912 3224890 4514846 6449780 9029692 11287115 12899560 18059384 22574230 45148460 90296920