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45054360 = 23335133209
BaseRepresentation
bin1010101111011…
…1100110011000
310010202222222000
42223313212120
543013214420
64245401000
71054645551
oct253674630
9103688860
1045054360
112348300a
1213109160
1394462b0
145dab328
153e4e690
hex2af7998

45054360 has 128 divisors (see below), whose sum is σ = 161784000. Its totient is φ = 11086848.

The previous prime is 45054349. The next prime is 45054379. The reversal of 45054360 is 6345054.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12436 + ... + 15644.

Almost surely, 245054360 is an apocalyptic number.

45054360 is a gapful number since it is divisible by the number (40) 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 45054360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80892000).

45054360 is an abundant number, since it is smaller than the sum of its proper divisors (116729640).

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

45054360 is a wasteful number, since it uses less digits than its factorization.

45054360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45054360 is about 6712.2544647831. The cubic root of 45054360 is about 355.8324970531.

The spelling of 45054360 in words is "forty-five million, fifty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3209 3510 4680 6418 7020 9627 12836 14040 16045 19254 25672 28881 32090 38508 41717 48135 57762 64180 77016 83434 86643 96270 115524 125151 128360 144405 166868 173286 192540 208585 231048 250302 288810 333736 346572 375453 385080 417170 433215 500604 577620 625755 693144 750906 834340 866430 1001208 1126359 1155240 1251510 1501812 1668680 1732860 1877265 2252718 2503020 3003624 3465720 3754530 4505436 5006040 5631795 7509060 9010872 11263590 15018120 22527180 45054360