Search a number
-
+
154430640 = 243257132357
BaseRepresentation
bin10010011010001…
…10110010110000
3101202120220000100
421031012302300
5304013240030
623153552400
73553432050
oct1115066260
9352526010
10154430640
117a199031
1243875700
1325cc07a0
141671d560
15d857360
hex9346cb0

154430640 has 240 divisors, whose sum is σ = 638584128. Its totient is φ = 32569344.

The previous prime is 154430611. The next prime is 154430663. The reversal of 154430640 is 46034451.

154430640 = T65 + T66 + ... + T974.

154430640 is a `hidden beast` number, since 15 + 4 + 4 + 3 + 0 + 640 = 666.

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

It is a congruent number.

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, 64342 + ... + 66698.

Almost surely, 2154430640 is an apocalyptic number.

154430640 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 154430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319292064).

154430640 is an abundant number, since it is smaller than the sum of its proper divisors (484153488).

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

154430640 is a wasteful number, since it uses less digits than its factorization.

154430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 154430640 is about 12427.0125130701. The cubic root of 154430640 is about 536.5100031806.

The spelling of 154430640 in words is "one hundred fifty-four million, four hundred thirty thousand, six hundred forty".