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145211000 = 23531143307
BaseRepresentation
bin10001010011110…
…11111001111000
3101010020111001012
420221323321320
5244133223000
622224213052
73412162454
oct1051737170
9333214035
10145211000
1174a711a0
124076a188
132411318c
14153dd664
15cb35735
hex8a7be78

145211000 has 128 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 51408000.

The previous prime is 145210993. The next prime is 145211021. The reversal of 145211000 is 112541.

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, 472847 + ... + 473153.

It is an arithmetic number, because the mean of its divisors is an integer number (2972970).

Almost surely, 2145211000 is an apocalyptic number.

145211000 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 145211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

145211000 is an abundant number, since it is smaller than the sum of its proper divisors (235329160).

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

145211000 is a wasteful number, since it uses less digits than its factorization.

145211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 145211000 is about 12050.3526919340. The cubic root of 145211000 is about 525.6134929472.

Adding to 145211000 its reverse (112541), we get a palindrome (145323541).

The spelling of 145211000 in words is "one hundred forty-five million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 250 275 307 344 430 440 473 500 550 614 860 946 1000 1075 1100 1228 1375 1535 1720 1892 2150 2200 2365 2456 2750 3070 3377 3784 4300 4730 5375 5500 6140 6754 7675 8600 9460 10750 11000 11825 12280 13201 13508 15350 16885 18920 21500 23650 26402 27016 30700 33770 38375 43000 47300 52804 59125 61400 66005 67540 76750 84425 94600 105608 118250 132010 135080 145211 153500 168850 236500 264020 290422 307000 330025 337700 422125 473000 528040 580844 660050 675400 726055 844250 1161688 1320100 1452110 1650125 1688500 2640200 2904220 3300250 3377000 3630275 5808440 6600500 7260550 13201000 14521100 18151375 29042200 36302750 72605500 145211000