| Base | Representation |
|---|---|
| bin | 10001010100010… |
| … | …11111110000000 |
| 3 | 101010100211022020 |
| 4 | 20222023332000 |
| 5 | 244142324200 |
| 6 | 22225441440 |
| 7 | 3412555344 |
| oct | 1052137600 |
| 9 | 333324266 |
| 10 | 145276800 |
| 11 | 75006679 |
| 12 | 407a0280 |
| 13 | 24137106 |
| 14 | 15419624 |
| 15 | cb49ea0 |
| hex | 8a8bf80 |
145276800 has 192 divisors, whose sum is σ = 492639600. Its totient is φ = 37601280.
The previous prime is 145276799. The next prime is 145276801. The reversal of 145276800 is 8672541.
It is an interprime number because it is at equal distance from previous prime (145276799) and next prime (145276801).
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×1452768002 = 42210697236480000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145276801) 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, 354996 + ... + 355404.
Almost surely, 2145276800 is an apocalyptic number.
145276800 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 145276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246319800).
145276800 is an abundant number, since it is smaller than the sum of its proper divisors (347362800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145276800 is a wasteful number, since it uses less digits than its factorization.
145276800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 473 (or 456 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 33.
The square root of 145276800 is about 12053.0825932622. The cubic root of 145276800 is about 525.6928720236.
It can be divided in two parts, 1452 and 76800, that multiplied together give a square (111513600 = 105602).
The spelling of 145276800 in words is "one hundred forty-five million, two hundred seventy-six thousand, eight hundred".
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