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145521054 = 232717411657
BaseRepresentation
bin10001010110001…
…11100110011110
3101010211020100200
420223013212132
5244223133204
622235004330
73414623430
oct1053074636
9333736320
10145521054
1175163138
12408996a6
13241c1343
1415480650
15cb97539
hex8ac799e

145521054 has 96 divisors (see below), whose sum is σ = 391075776. Its totient is φ = 38154240.

The previous prime is 145521053. The next prime is 145521067. The reversal of 145521054 is 450125541.

145521054 is a `hidden beast` number, since 1 + 4 + 552 + 105 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145521053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86994 + ... + 88650.

It is an arithmetic number, because the mean of its divisors is an integer number (4073706).

Almost surely, 2145521054 is an apocalyptic number.

145521054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145521054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195537888).

145521054 is an abundant number, since it is smaller than the sum of its proper divisors (245554722).

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

145521054 is a wasteful number, since it uses less digits than its factorization.

145521054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 145521054 is about 12063.2107666243. The cubic root of 145521054 is about 525.9873230137.

Adding to 145521054 its reverse (450125541), we get a palindrome (595646595).

The spelling of 145521054 in words is "one hundred forty-five million, five hundred twenty-one thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 41 42 51 63 82 102 119 123 126 153 238 246 287 306 357 369 574 697 714 738 861 1071 1394 1657 1722 2091 2142 2583 3314 4182 4879 4971 5166 6273 9758 9942 11599 12546 14637 14913 23198 28169 29274 29826 34797 43911 56338 67937 69594 84507 87822 104391 135874 169014 197183 203811 208782 253521 394366 407622 475559 507042 591549 611433 951118 1154929 1183098 1222866 1426677 1774647 2309858 2853354 3464787 3549294 4280031 6929574 8084503 8560062 10394361 16169006 20788722 24253509 48507018 72760527 145521054