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90423216 = 2435131789
BaseRepresentation
bin1010110001110…
…11111110110000
320022010222100000
411120323332300
5141122020331
612550030000
72145404352
oct530737660
9208128300
1090423216
1147050334
1226348300
131596c780
14c01b0d2
157e120e6
hex563bfb0

90423216 has 120 divisors (see below), whose sum is σ = 282777040. Its totient is φ = 27806976.

The previous prime is 90423211. The next prime is 90423217. The reversal of 90423216 is 61232409.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 90423216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90423211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49650 + ... + 51438.

Almost surely, 290423216 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 90423216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141388520).

90423216 is an abundant number, since it is smaller than the sum of its proper divisors (192353824).

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

90423216 is a wasteful number, since it uses less digits than its factorization.

90423216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90423216 is about 9509.1122614048. The cubic root of 90423216 is about 448.8418217197.

The spelling of 90423216 in words is "ninety million, four hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1789 1872 1944 2106 2808 3159 3578 3888 4212 5367 5616 6318 7156 8424 10734 12636 14312 16101 16848 21468 23257 25272 28624 32202 42936 46514 48303 50544 64404 69771 85872 93028 96606 128808 139542 144909 186056 193212 209313 257616 279084 289818 372112 386424 418626 434727 558168 579636 627939 772848 837252 869454 1116336 1159272 1255878 1674504 1738908 1883817 2318544 2511756 3349008 3477816 3767634 5023512 5651451 6955632 7535268 10047024 11302902 15070536 22605804 30141072 45211608 90423216