| Base | Representation |
|---|---|
| bin | 10001011111101… |
| … | …00000101100000 |
| 3 | 101020010202200100 |
| 4 | 20233310011200 |
| 5 | 300032024330 |
| 6 | 22321222400 |
| 7 | 3431240634 |
| oct | 1057640540 |
| 9 | 336122610 |
| 10 | 146751840 |
| 11 | 75923914 |
| 12 | 41191a00 |
| 13 | 24532611 |
| 14 | 156c0dc4 |
| 15 | cd3c060 |
| hex | 8bf4160 |
146751840 has 144 divisors (see below), whose sum is σ = 504137088. Its totient is φ = 38873088.
The previous prime is 146751811. The next prime is 146751841. The reversal of 146751840 is 48157641.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1467518402 = 43072205086771200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 146751795 and 146751804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146751841) 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, 320892 + ... + 321348.
It is an arithmetic number, because the mean of its divisors is an integer number (3500952).
Almost surely, 2146751840 is an apocalyptic number.
146751840 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 146751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252068544).
146751840 is an abundant number, since it is smaller than the sum of its proper divisors (357385248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146751840 is a wasteful number, since it uses less digits than its factorization.
146751840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 701 (or 690 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The square root of 146751840 is about 12114.1173842753. The cubic root of 146751840 is about 527.4660580273.
The spelling of 146751840 in words is "one hundred forty-six million, seven hundred fifty-one thousand, eight hundred forty".
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