Search a number
-
+
90927104 = 21279281
BaseRepresentation
bin1010110101101…
…11000000000000
320100002120112112
411122313000000
5141234131404
613004514452
72152603412
oct532670000
9210076475
1090927104
1147364974
122654ba28
1315ab7c28
14c10c9b2
157eb156e
hex56b7000

90927104 has 52 divisors (see below), whose sum is σ = 184788960. Its totient is φ = 44728320.

The previous prime is 90927091. The next prime is 90927139. The reversal of 90927104 is 40172909.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323444 + ... + 323724.

Almost surely, 290927104 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 90927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92394480).

90927104 is an abundant number, since it is smaller than the sum of its proper divisors (93861856).

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

90927104 is an equidigital number, since it uses as much as digits as its factorization.

90927104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 90927104 is about 9535.5704601246. The cubic root of 90927104 is about 449.6740091689.

The spelling of 90927104 in words is "ninety million, nine hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 281 316 512 562 632 1024 1124 1264 2048 2248 2528 4096 4496 5056 8992 10112 17984 20224 22199 35968 40448 44398 71936 80896 88796 143872 161792 177592 287744 323584 355184 575488 710368 1150976 1420736 2841472 5682944 11365888 22731776 45463552 90927104