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45032130 = 232511133499
BaseRepresentation
bin1010101111001…
…0001011000010
310010201212110200
42223302023002
543012012010
64245110030
71054524003
oct253621302
9103655420
1045032130
1123468340
12130b8316
139439140
145da31aa
153e47cc0
hex2af22c2

45032130 has 96 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 10074240.

The previous prime is 45032129. The next prime is 45032149. The reversal of 45032130 is 3123054.

45032130 is a `hidden beast` number, since 450 + 3 + 213 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11121 + ... + 14619.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 245032130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

45032130 is an abundant number, since it is smaller than the sum of its proper divisors (92559870).

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

45032130 is a wasteful number, since it uses less digits than its factorization.

45032130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45032130 is about 6710.5983339789. The cubic root of 45032130 is about 355.7739643700.

Adding to 45032130 its reverse (3123054), we get a palindrome (48155184).

The spelling of 45032130 in words is "forty-five million, thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2574 3499 4290 6435 6998 10497 12870 17495 20994 31491 34990 38489 45487 52485 62982 76978 90974 104970 115467 136461 157455 192445 227435 230934 272922 314910 346401 384890 409383 454870 500357 577335 682305 692802 818766 1000714 1154670 1364610 1501071 1732005 2046915 2501785 3002142 3464010 4093830 4503213 5003570 7505355 9006426 15010710 22516065 45032130