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145460280 = 23357237529
BaseRepresentation
bin10001010101110…
…00110000111000
3101010201010222210
420222320300320
5244214212110
622233415120
73414251310
oct1052706070
9333633883
10145460280
1175121509
124086a4a0
132419c794
1415466440
15cb84520
hex8ab8c38

145460280 has 128 divisors (see below), whose sum is σ = 520473600. Its totient is φ = 31798272.

The previous prime is 145460243. The next prime is 145460291. The reversal of 145460280 is 82064541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15556 + ... + 23084.

It is an arithmetic number, because the mean of its divisors is an integer number (4066200).

Almost surely, 2145460280 is an apocalyptic number.

145460280 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 145460280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260236800).

145460280 is an abundant number, since it is smaller than the sum of its proper divisors (375013320).

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

145460280 is a wasteful number, since it uses less digits than its factorization.

145460280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 145460280 is about 12060.6915224625. The cubic root of 145460280 is about 525.9140900719.

The spelling of 145460280 in words is "one hundred forty-five million, four hundred sixty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 7529 9660 15058 19320 22587 30116 37645 45174 52703 60232 75290 90348 105406 112935 150580 158109 173167 180696 210812 225870 263515 301160 316218 346334 421624 451740 519501 527030 632436 692668 790545 865835 903480 1039002 1054060 1212169 1264872 1385336 1581090 1731670 2078004 2108120 2424338 2597505 3162180 3463340 3636507 4156008 4848676 5195010 6060845 6324360 6926680 7273014 9697352 10390020 12121690 14546028 18182535 20780040 24243380 29092056 36365070 48486760 72730140 145460280