Search a number
-
+
27139950 = 23252411471
BaseRepresentation
bin110011110000…
…1111101101110
31220001212000100
41213201331232
523421434300
62405411530
7446454135
oct147417556
956055010
1027139950
1114357712
129109ba6
135813256
14386691c
1525b1700
hex19e1f6e

27139950 has 72 divisors (see below), whose sum is σ = 74745216. Its totient is φ = 7056000.

The previous prime is 27139949. The next prime is 27139951. The reversal of 27139950 is 5993172.

It is an interprime number because it is at equal distance from previous prime (27139949) and next prime (27139951).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27139951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17715 + ... + 19185.

It is an arithmetic number, because the mean of its divisors is an integer number (1038128).

Almost surely, 227139950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27139950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37372608).

27139950 is an abundant number, since it is smaller than the sum of its proper divisors (47605266).

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

27139950 is a wasteful number, since it uses less digits than its factorization.

27139950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 27139950 is about 5209.6017122233. The cubic root of 27139950 is about 300.5174403385.

The spelling of 27139950 in words is "twenty-seven million, one hundred thirty-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1471 1845 2050 2942 3075 3690 4413 6150 7355 8826 9225 13239 14710 18450 22065 26478 36775 44130 60311 66195 73550 110325 120622 132390 180933 220650 301555 330975 361866 542799 603110 661950 904665 1085598 1507775 1809330 2713995 3015550 4523325 5427990 9046650 13569975 27139950