Search a number
-
+
151014528 = 2732761307
BaseRepresentation
bin10010000000001…
…00110010000000
3101112011022222200
421000010302000
5302124431103
622552433200
73512413410
oct1100046200
9345138880
10151014528
11782754a5
12426a8800
1325395912
14160b0640
15d3d00a3
hex9004c80

151014528 has 192 divisors, whose sum is σ = 506425920. Its totient is φ = 42301440.

The previous prime is 151014517. The next prime is 151014529. The reversal of 151014528 is 825410151.

151014528 is a `hidden beast` number, since 1 + 510 + 145 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (151014529) 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, 491751 + ... + 492057.

It is an arithmetic number, because the mean of its divisors is an integer number (2637635).

Almost surely, 2151014528 is an apocalyptic number.

151014528 is a gapful number since it is divisible by the number (18) 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 151014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253212960).

151014528 is an abundant number, since it is smaller than the sum of its proper divisors (355411392).

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

151014528 is a wasteful number, since it uses less digits than its factorization.

151014528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 151014528 is about 12288.7968491631. The cubic root of 151014528 is about 532.5244794671.

Adding to 151014528 its reverse (825410151), we get a palindrome (976424679).

The spelling of 151014528 in words is "one hundred fifty-one million, fourteen thousand, five hundred twenty-eight".