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145040532 = 223713217601
BaseRepresentation
bin10001010010100…
…10010010010100
3101002220211012120
420221102102110
5244112244112
622220415540
73410552460
oct1051222224
9332824176
10145040532
117496510a
12406a75b0
1324083700
14153974a0
15caeee8c
hex8a52494

145040532 has 144 divisors (see below), whose sum is σ = 444189312. Its totient is φ = 35942400.

The previous prime is 145040531. The next prime is 145040557. The reversal of 145040532 is 235040541.

145040532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145040531) 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, 241032 + ... + 241632.

It is an arithmetic number, because the mean of its divisors is an integer number (3084648).

Almost surely, 2145040532 is an apocalyptic number.

145040532 is a gapful number since it is divisible by the number (12) 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 145040532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222094656).

145040532 is an abundant number, since it is smaller than the sum of its proper divisors (299148780).

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

145040532 is a wasteful number, since it uses less digits than its factorization.

145040532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 145040532 is about 12043.2774608908. The cubic root of 145040532 is about 525.4077340506.

Subtracting 145040532 from its reverse (235040541), we obtain a palindrome (90000009).

The spelling of 145040532 in words is "one hundred forty-five million, forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 169 182 204 221 238 273 338 357 364 442 476 507 546 601 663 676 714 884 1014 1092 1183 1202 1326 1428 1547 1803 2028 2366 2404 2652 2873 3094 3549 3606 4207 4641 4732 5746 6188 7098 7212 7813 8414 8619 9282 10217 11492 12621 14196 15626 16828 17238 18564 20111 20434 23439 25242 30651 31252 34476 40222 40868 46878 50484 54691 60333 61302 71519 80444 93756 101569 109382 120666 122604 132821 143038 164073 203138 214557 218764 241332 265642 286076 304707 328146 398463 406276 429114 531284 609414 656292 710983 796926 858228 929747 1218828 1421966 1593852 1726673 1859494 2132949 2789241 2843932 3453346 3718988 4265898 5180019 5578482 6906692 8531796 10360038 11156964 12086711 20720076 24173422 36260133 48346844 72520266 145040532