Search a number
-
+
133694640 = 243251929337
BaseRepresentation
bin1111111100000…
…00010010110000
3100022120101120100
413332000102300
5233211212030
621133312400
73212246202
oct776002260
9308511510
10133694640
1169515842
1238935700
1321910371
1413a82772
15bb0d360
hex7f804b0

133694640 has 240 divisors, whose sum is σ = 490370400. Its totient is φ = 32514048.

The previous prime is 133694629. The next prime is 133694651. The reversal of 133694640 is 46496331.

133694640 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 9 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (133694629) and next prime (133694651).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133694595 and 133694604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396552 + ... + 396888.

It is an arithmetic number, because the mean of its divisors is an integer number (2043210).

Almost surely, 2133694640 is an apocalyptic number.

133694640 is a gapful number since it is divisible by the number (10) 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 133694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245185200).

133694640 is an abundant number, since it is smaller than the sum of its proper divisors (356675760).

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

133694640 is a wasteful number, since it uses less digits than its factorization.

133694640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 133694640 is about 11562.6398369922. The cubic root of 133694640 is about 511.3339932500. Note that the first 3 decimals are identical.

The spelling of 133694640 in words is "one hundred thirty-three million, six hundred ninety-four thousand, six hundred forty".