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45135510 = 23571747269
BaseRepresentation
bin1010110000101…
…1011010010110
310010221010021120
42230023122112
543023314020
64251224410
71055434260
oct254133226
9103833246
1045135510
1123528a82
1213148106
139474204
145dccb30
153e68740
hex2b0b696

45135510 has 128 divisors (see below), whose sum is σ = 134369280. Its totient is φ = 9467904.

The previous prime is 45135479. The next prime is 45135511. The reversal of 45135510 is 1553154.

45135510 is digitally balanced in base 2, 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 (45135511) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 167656 + ... + 167924.

It is an arithmetic number, because the mean of its divisors is an integer number (1049760).

Almost surely, 245135510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45135510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67184640).

45135510 is an abundant number, since it is smaller than the sum of its proper divisors (89233770).

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

45135510 is a wasteful number, since it uses less digits than its factorization.

45135510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 45135510 is about 6718.2966591242. The cubic root of 45135510 is about 356.0460057112.

Adding to 45135510 its reverse (1553154), we get a palindrome (46688664).

The spelling of 45135510 in words is "forty-five million, one hundred thirty-five thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 47 51 70 85 94 102 105 119 141 170 210 235 238 255 269 282 329 357 470 510 538 595 658 705 714 799 807 987 1190 1345 1410 1598 1614 1645 1785 1883 1974 2397 2690 3290 3570 3766 3995 4035 4573 4794 4935 5593 5649 7990 8070 9146 9415 9870 11186 11298 11985 12643 13719 16779 18830 22865 23970 25286 27438 27965 28245 32011 33558 37929 45730 55930 56490 63215 64022 68595 75858 83895 88501 96033 126430 137190 160055 167790 177002 189645 192066 214931 265503 320110 379290 429862 442505 480165 531006 644793 885010 960330 1074655 1289586 1327515 1504517 2149310 2655030 3009034 3223965 4513551 6447930 7522585 9027102 15045170 22567755 45135510