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45000060 = 22357307349
BaseRepresentation
bin1010101110101…
…0010101111100
310010200020110220
42223222111330
543010000220
64244301340
71054331340
oct253522574
9103606426
1045000060
1123446236
12130a1850
139427671
145d95620
153e3d540
hex2aea57c

45000060 has 96 divisors (see below), whose sum is σ = 144883200. Its totient is φ = 10222848.

The previous prime is 45000031. The next prime is 45000061. The reversal of 45000060 is 6000054.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45000061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128766 + ... + 129114.

It is an arithmetic number, because the mean of its divisors is an integer number (1509200).

Almost surely, 245000060 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 45000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72441600).

45000060 is an abundant number, since it is smaller than the sum of its proper divisors (99883140).

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

45000060 is a wasteful number, since it uses less digits than its factorization.

45000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 45000060 is about 6708.2084046338. The cubic root of 45000060 is about 355.6894885331.

It can be divided in two parts, 450000 and 60, that multiplied together give a cube (27000000 = 3003).

The spelling of 45000060 in words is "forty-five million, sixty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 307 349 420 614 698 921 1047 1228 1396 1535 1745 1842 2094 2149 2443 3070 3490 3684 4188 4298 4605 4886 5235 6140 6447 6980 7329 8596 9210 9772 10470 10745 12215 12894 14658 18420 20940 21490 24430 25788 29316 32235 36645 42980 48860 64470 73290 107143 128940 146580 214286 321429 428572 535715 642858 750001 1071430 1285716 1500002 1607145 2142860 2250003 3000004 3214290 3750005 4500006 6428580 7500010 9000012 11250015 15000020 22500030 45000060