Search a number
-
+
145054200 = 233521714221
BaseRepresentation
bin10001010010101…
…01100111111000
3101002221111221210
420221111213320
5244113213300
622221003120
73410640354
oct1051254770
9332844853
10145054200
1174974405
12406b34a0
13240899b5
141539c464
15cb04050
hex8a559f8

145054200 has 96 divisors (see below), whose sum is σ = 476152560. Its totient is φ = 36403200.

The previous prime is 145054153. The next prime is 145054211. The reversal of 145054200 is 2450541.

145054200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3090 + ... + 17310.

Almost surely, 2145054200 is an apocalyptic number.

145054200 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 145054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238076280).

145054200 is an abundant number, since it is smaller than the sum of its proper divisors (331098360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145054200 is a wasteful number, since it uses less digits than its factorization.

145054200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14257 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 145054200 is about 12043.8449010272. The cubic root of 145054200 is about 525.4242375922.

The spelling of 145054200 in words is "one hundred forty-five million, fifty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 14221 28442 42663 56884 71105 85326 113768 142210 170652 213315 241757 284420 341304 355525 426630 483514 568840 711050 725271 853260 967028 1066575 1208785 1422100 1450542 1706520 1934056 2133150 2417570 2844200 2901084 3626355 4266300 4835140 5802168 6043925 7252710 8532600 9670280 12087850 14505420 18131775 24175700 29010840 36263550 48351400 72527100 145054200