Search a number
-
+
133742838 = 23232291453
BaseRepresentation
bin1111111100011…
…00000011110110
3100022122211200110
413332030003312
5233214232323
621134323450
73212536545
oct776140366
9308584613
10133742838
1169548a79
1238959586
1321929298
1413a9615c
15bb1c793
hex7f8c0f6

133742838 has 48 divisors (see below), whose sum is σ = 289462320. Its totient is φ = 41143872.

The previous prime is 133742837. The next prime is 133742839. The reversal of 133742838 is 838247331.

133742838 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133742837) and next prime (133742839).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 133742796 and 133742805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133742837) 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, 91320 + ... + 92772.

It is an arithmetic number, because the mean of its divisors is an integer number (6030465).

Almost surely, 2133742838 is an apocalyptic number.

133742838 is an abundant number, since it is smaller than the sum of its proper divisors (155719482).

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

133742838 is a wasteful number, since it uses less digits than its factorization.

133742838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1510 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 133742838 is about 11564.7238618136. The cubic root of 133742838 is about 511.3954325488.

The spelling of 133742838 in words is "one hundred thirty-three million, seven hundred forty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 23 29 46 58 69 87 138 174 529 667 1058 1334 1453 1587 2001 2906 3174 4002 4359 8718 15341 30682 33419 42137 46023 66838 84274 92046 100257 126411 200514 252822 768637 969151 1537274 1938302 2305911 2907453 4611822 5814906 22290473 44580946 66871419 133742838