Search a number
-
+
27991960 = 2352959409
BaseRepresentation
bin110101011000…
…1111110011000
31221200010202021
41222301332120
524131220320
62435544224
7456633133
oct152617630
957603667
1027991960
1114889857
12945b074
135a50cb9
143a0921a
1526cddaa
hex1ab1f98

27991960 has 64 divisors (see below), whose sum is σ = 66420000. Its totient is φ = 10601472.

The previous prime is 27991939. The next prime is 27991967. The reversal of 27991960 is 6919972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27991967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68236 + ... + 68644.

Almost surely, 227991960 is an apocalyptic number.

27991960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27991960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33210000).

27991960 is an abundant number, since it is smaller than the sum of its proper divisors (38428040).

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

27991960 is a wasteful number, since it uses less digits than its factorization.

27991960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The square root of 27991960 is about 5290.7428589944. The cubic root of 27991960 is about 303.6298299108.

The spelling of 27991960 in words is "twenty-seven million, nine hundred ninety-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 59 116 118 145 232 236 290 295 409 472 580 590 818 1160 1180 1636 1711 2045 2360 3272 3422 4090 6844 8180 8555 11861 13688 16360 17110 23722 24131 34220 47444 48262 59305 68440 94888 96524 118610 120655 193048 237220 241310 474440 482620 699799 965240 1399598 2799196 3498995 5598392 6997990 13995980 27991960