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145049280 = 26351391087
BaseRepresentation
bin10001010010101…
…00011011000000
3101002221021012120
420221110123000
5244113034110
622220524240
73410620125
oct1051243300
9332837176
10145049280
1174970742
12406b0680
132408769c
141539a74c
15cb02870
hex8a546c0

145049280 has 112 divisors (see below), whose sum is σ = 464271360. Its totient is φ = 38366208.

The previous prime is 145049273. The next prime is 145049291. The reversal of 145049280 is 82940541.

145049280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132897 + ... + 133983.

It is an arithmetic number, because the mean of its divisors is an integer number (4145280).

Almost surely, 2145049280 is an apocalyptic number.

145049280 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 145049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232135680).

145049280 is an abundant number, since it is smaller than the sum of its proper divisors (319222080).

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

145049280 is a wasteful number, since it uses less digits than its factorization.

145049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 145049280 is about 12043.6406455855. The cubic root of 145049280 is about 525.4182970162.

The spelling of 145049280 in words is "one hundred forty-five million, forty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 139 160 192 240 278 320 417 480 556 695 834 960 1087 1112 1390 1668 2085 2174 2224 2780 3261 3336 4170 4348 4448 5435 5560 6522 6672 8340 8696 8896 10870 11120 13044 13344 16305 16680 17392 21740 22240 26088 26688 32610 33360 34784 43480 44480 52176 65220 66720 69568 86960 104352 130440 133440 151093 173920 208704 260880 302186 347840 453279 521760 604372 755465 906558 1043520 1208744 1510930 1813116 2266395 2417488 3021860 3626232 4532790 4834976 6043720 7252464 9065580 9669952 12087440 14504928 18131160 24174880 29009856 36262320 48349760 72524640 145049280