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145005336 = 23337293307
BaseRepresentation
bin10001010010010…
…01101100011000
3101002212000221000
420221021230120
5244110132321
622215545000
73410345040
oct1051115430
9332760830
10145005336
1174940723
124068b160
1324070698
1415388720
15cae4826
hex8a49b18

145005336 has 128 divisors (see below), whose sum is σ = 476352000. Its totient is φ = 39989376.

The previous prime is 145005323. The next prime is 145005337. The reversal of 145005336 is 633500541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145005337) 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, 42195 + ... + 45501.

It is an arithmetic number, because the mean of its divisors is an integer number (3721500).

Almost surely, 2145005336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145005336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238176000).

145005336 is an abundant number, since it is smaller than the sum of its proper divisors (331346664).

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

145005336 is a wasteful number, since it uses less digits than its factorization.

145005336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 145005336 is about 12041.8161420942. The cubic root of 145005336 is about 525.3652315714.

Adding to 145005336 its reverse (633500541), we get a palindrome (778505877).

The spelling of 145005336 in words is "one hundred forty-five million, five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3307 3654 4872 5481 6264 6614 7308 9921 10962 13228 14616 19842 21924 23149 26456 29763 39684 43848 46298 59526 69447 79368 89289 92596 95903 119052 138894 178578 185192 191806 208341 238104 277788 287709 357156 383612 416682 555576 575418 625023 671321 714312 767224 833364 863127 1150836 1250046 1342642 1666728 1726254 2013963 2301672 2500092 2589381 2685284 3452508 4027926 5000184 5178762 5370568 6041889 6905016 8055852 10357524 12083778 16111704 18125667 20715048 24167556 36251334 48335112 72502668 145005336