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145540836 = 2232719113269
BaseRepresentation
bin10001010110011…
…00011011100100
3101010212020111100
420223030123210
5244224301321
622235240100
73415035210
oct1053143344
9333766440
10145540836
1175176a91
12408a9030
13241ca34c
1415487940
15cb9d326
hex8acc6e4

145540836 has 144 divisors (see below), whose sum is σ = 448156800. Its totient is φ = 38900736.

The previous prime is 145540819. The next prime is 145540861. The reversal of 145540836 is 638045541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145540836.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540910 + ... + 541178.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2145540836 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 145540836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224078400).

145540836 is an abundant number, since it is smaller than the sum of its proper divisors (302615964).

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

145540836 is a wasteful number, since it uses less digits than its factorization.

145540836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 145540836 is about 12064.0306697223. The cubic root of 145540836 is about 526.0111560135.

The spelling of 145540836 in words is "one hundred forty-five million, five hundred forty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 113 114 126 133 171 226 228 252 266 269 339 342 399 452 532 538 678 684 791 798 807 1017 1076 1197 1356 1582 1596 1614 1883 2034 2147 2373 2394 2421 3164 3228 3766 4068 4294 4746 4788 4842 5111 5649 6441 7119 7532 8588 9492 9684 10222 11298 12882 14238 15029 15333 16947 19323 20444 22596 25764 28476 30058 30397 30666 33894 35777 38646 45087 45999 60116 60794 61332 67788 71554 77292 90174 91191 91998 107331 121588 135261 143108 180348 182382 183996 212779 214662 270522 273573 321993 364764 425558 429324 541044 547146 577543 638337 643986 851116 1094292 1155086 1276674 1287972 1732629 1915011 2310172 2553348 3465258 3830022 4042801 5197887 6930516 7660044 8085602 10395774 12128403 16171204 20791548 24256806 36385209 48513612 72770418 145540836