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145054000 = 2453713797
BaseRepresentation
bin10001010010101…
…01100100110000
3101002221111200101
420221111210300
5244113212000
622221002144
73410636650
oct1051254460
9332844611
10145054000
1174974243
12406b3354
1324089890
141539c360
15cb03e6a
hex8a55930

145054000 has 160 divisors (see below), whose sum is σ = 432222336. Its totient is φ = 45849600.

The previous prime is 145053989. The next prime is 145054001. The reversal of 145054000 is 450541.

It is not an unprimeable number, because it can be changed into a prime (145054001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181602 + ... + 182398.

Almost surely, 2145054000 is an apocalyptic number.

145054000 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 145054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

145054000 is an abundant number, since it is smaller than the sum of its proper divisors (287168336).

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

145054000 is a wasteful number, since it uses less digits than its factorization.

145054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 145054000 is about 12043.8365980281. The cubic root of 145054000 is about 525.4239961080.

The spelling of 145054000 in words is "one hundred forty-five million, fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 797 875 910 1000 1040 1300 1400 1456 1594 1625 1750 1820 2000 2275 2600 2800 3188 3250 3500 3640 3985 4550 5200 5579 6376 6500 7000 7280 7970 9100 10361 11158 11375 12752 13000 14000 15940 18200 19925 20722 22316 22750 26000 27895 31880 36400 39850 41444 44632 45500 51805 55790 63760 72527 79700 82888 89264 91000 99625 103610 111580 139475 145054 159400 165776 182000 199250 207220 223160 259025 278950 290108 318800 362635 398500 414440 446320 518050 557900 580216 697375 725270 797000 828880 1036100 1115800 1160432 1295125 1394750 1450540 1594000 1813175 2072200 2231600 2590250 2789500 2901080 3626350 4144400 5180500 5579000 5802160 7252700 9065875 10361000 11158000 14505400 18131750 20722000 29010800 36263500 72527000 145054000