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90936460 = 22529831889
BaseRepresentation
bin1010110101110…
…01010010001100
320100010001101001
411122321102030
5141234431320
613005030044
72152642606
oct532712214
9210101331
1090936460
11473709aa
1226555324
1315abc274
14c112176
157eb420a
hex56b948c

90936460 has 48 divisors (see below), whose sum is σ = 200037600. Its totient is φ = 34678784.

The previous prime is 90936449. The next prime is 90936463. The reversal of 90936460 is 6463909.

It is not an unprimeable number, because it can be changed into a prime (90936463) 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 15 ways as a sum of consecutive naturals, for example, 47196 + ... + 49084.

It is an arithmetic number, because the mean of its divisors is an integer number (4167450).

Almost surely, 290936460 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 90936460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100018800).

90936460 is an abundant number, since it is smaller than the sum of its proper divisors (109101140).

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

90936460 is a wasteful number, since it uses less digits than its factorization.

90936460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 90936460 is about 9536.0610316839. The cubic root of 90936460 is about 449.6894318007.

The spelling of 90936460 in words is "ninety million, nine hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 580 830 1660 1889 2407 3778 4814 7556 9445 9628 12035 18890 24070 37780 48140 54781 109562 156787 219124 273905 313574 547810 627148 783935 1095620 1567870 3135740 4546823 9093646 18187292 22734115 45468230 90936460