Base | Representation |
---|---|
bin | 10010000011010… |
… | …10011110000000 |
3 | 101112221111100001 |
4 | 21001222132000 |
5 | 302231243130 |
6 | 23005405344 |
7 | 3516066625 |
oct | 1101523600 |
9 | 345844301 |
10 | 151431040 |
11 | 7852a422 |
12 | 42869854 |
13 | 254b0387 |
14 | 1617c34c |
15 | d4636ca |
hex | 906a780 |
151431040 has 128 divisors (see below), whose sum is σ = 385560000. Its totient is φ = 56770560.
The previous prime is 151431013. The next prime is 151431041. The reversal of 151431040 is 40134151.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 151430999 and 151431017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (151431041) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760861 + ... + 761059.
Almost surely, 2151431040 is an apocalyptic number.
151431040 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 151431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192780000).
151431040 is an abundant number, since it is smaller than the sum of its proper divisors (234128960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151431040 is a wasteful number, since it uses less digits than its factorization.
151431040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 288 (or 276 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
The square root of 151431040 is about 12305.7319977318. The cubic root of 151431040 is about 533.0136139304.
Adding to 151431040 its reverse (40134151), we get a palindrome (191565191).
The spelling of 151431040 in words is "one hundred fifty-one million, four hundred thirty-one thousand, forty".
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