| Base | Representation |
|---|---|
| bin | 10010000111011… |
| … | …10100100100000 |
| 3 | 101120221222120100 |
| 4 | 21003232210200 |
| 5 | 302401102003 |
| 6 | 23025142400 |
| 7 | 3523512300 |
| oct | 1103564440 |
| 9 | 346858510 |
| 10 | 151972128 |
| 11 | 78869a00 |
| 12 | 42a8aa00 |
| 13 | 2563c749 |
| 14 | 1627d600 |
| 15 | d51dba3 |
| hex | 90ee920 |
151972128 has 324 divisors, whose sum is σ = 558795510. Its totient is φ = 39029760.
The previous prime is 151972111. The next prime is 151972133. The reversal of 151972128 is 821279151.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 144288144 + 7683984 = 12012^2 + 2772^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (10080) is a multiple of the sum of its prime divisors (112).
It is a junction number, because it is equal to n+sod(n) for n = 151972092 and 151972101.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1707508 + ... + 1707596.
Almost surely, 2151972128 is an apocalyptic number.
151972128 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 151972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279397755).
151972128 is an abundant number, since it is smaller than the sum of its proper divisors (406823382).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151972128 is a wasteful number, since it uses less digits than its factorization.
151972128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141 (or 112 counting only the distinct ones).
The product of its digits is 10080, while the sum is 36.
The square root of 151972128 is about 12327.6975952527. The cubic root of 151972128 is about 533.6477077106.
It can be divided in two parts, 151972 and 128, that added together give a square (152100 = 3902).
The spelling of 151972128 in words is "one hundred fifty-one million, nine hundred seventy-two thousand, one hundred twenty-eight".
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