| Base | Representation |
|---|---|
| bin | 10010001010111… |
| … | …11010110110100 |
| 3 | 101121211110021102 |
| 4 | 21011133112310 |
| 5 | 303010342400 |
| 6 | 23043105232 |
| 7 | 3530445200 |
| oct | 1105372664 |
| 9 | 347743242 |
| 10 | 152434100 |
| 11 | 79054aa5 |
| 12 | 43072218 |
| 13 | 25771ac0 |
| 14 | 1635db00 |
| 15 | d5b09d5 |
| hex | 915f5b4 |
152434100 has 108 divisors (see below), whose sum is σ = 414559404. Its totient is φ = 48222720.
The previous prime is 152434091. The next prime is 152434109. The reversal of 152434100 is 1434251.
It is an interprime number because it is at equal distance from previous prime (152434091) and next prime (152434109).
It can be written as a sum of positive squares in 6 ways, for example, as 56942116 + 95491984 = 7546^2 + 9772^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (152434109) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62504 + ... + 64896.
It is an arithmetic number, because the mean of its divisors is an integer number (3838513).
Almost surely, 2152434100 is an apocalyptic number.
152434100 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 152434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207279702).
152434100 is an abundant number, since it is smaller than the sum of its proper divisors (262125304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152434100 is a wasteful number, since it uses less digits than its factorization.
152434100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2434 (or 2420 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
The square root of 152434100 is about 12346.4205339037. The cubic root of 152434100 is about 534.1878964901.
Adding to 152434100 its reverse (1434251), we get a palindrome (153868351).
The spelling of 152434100 in words is "one hundred fifty-two million, four hundred thirty-four thousand, one hundred".
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